what is the equation of the line passing through the point (2,-1) with a slope of -3

Answers

Answer 1

Note: this answer assumes that the equation of the line must be in slope-intercept form.

Answer:

[tex]y= -3x + 5[/tex]

Explanation:

When you need to write an equation and know its slope and a point it intersects, you can use the point slope formula [tex]y-y_1 = m (x-x_1)[/tex] first. In order to write an equation using this formula, the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] must be substituted in for real values.

The [tex]m[/tex] represents the slope, so write the slope of this equation, -3, in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of a point the line intersects. We know that the line must intersect the point (2, -1). Write 2 in the place of

[tex]y-(-1) = -3(x-(2))[/tex]

[tex]y+1 = -3(x-2)[/tex]

Now, to put it in slope-intercept or [tex]y = mx + b[/tex] form, just expand the right side and isolate [tex]y[/tex]:

[tex]y+1 = -3(x-2)\\y + 1 = -3x + 6 \\y = -3x + 5[/tex]

Therefore, [tex]y= -3x + 5[/tex] is the answer.


Related Questions

A. Dos números enteros positivos cuya diferencia sea 42
B. Dos números enteros negativos cuya diferencia sea 9
C. Dos números enteros de diferente signo cuya diferencia sea 120

Answers

Answer:

ne hamla que estas no habla espanol

Step-by-step explanation:

que

You are doing research on balance and fitness. To complete this research you will need a watch with a second hand. Identify a random sample of n = 12 men and n = 8 women. You must answer this question: How do you establish that this sample is truly random?

Answers

Answer:

Step-by-step explanation:

In order to establish that the sample is truly random you need to obtain two main factors. First, is making sure that the random sample of both groups chosen (men and women) are equal in proportion to the overall population. Meaning both groups must be the same percentage of the overall population of the same gender. The second factor that you need to make sure of is that all chosen individual's had the exact same probability of being chosen from the population and no external factor influenced the probability of them being chosen for the study.

Which of number below are whole numbers

Answers

Answer:

D and F

Step-by-step explanation:

Numbers such as 0,1,2,3 etc are Whole numbers

Answer:

Your answer is D and F

Step-by-step explanation:

because only 951 and 3 are the numbers with no points and whole numbers require this..

HOPE THIS HELPS YOU

PLS MARK AS BRAINLIEST

How to Simplify (7x+2)+(x+8)-2x

Answers

Answer:

Step-by-step explanation:

The answer to this should be 2(3x+5)

The simplified answer of this is 6x+10

I hope I helped you out.

Answer:

P: ()

E: 5^4 (example)

M:x

D: ÷

A:+

S:-

PLEASE HELP 17 points

Answers

Answer: I say B its a bit hard but i think i got it not  sure but Good Luck!

Step-by-step explanation:

Answer:

6.25

Step-by-step explanation:

When dilating a shape, you need to take the side length and multiply it by the scale factor.

3(x+y)=y
If (x,y) is a solution to the equation above and y does not equal 0, what is the ratio x/y?

please add an explanation.

Answers

3(x+y)=y

y is not equal to zero

*Solution  

1. The given equation is 3(x+y) = y and we are tasked to find the ratio between x and y. Distributing 3 to the terms in the parenthesis,  

                       3(x+y) = y

                     3x + 3y = y

Transposing 3y to the right side OR subtracting 3y from both the left-hand side and the right-hand side of the equation would give

                             3x = -2y

Dividing both sides of the equation by 3,  

                               x = (-2/3)y

Dividing both sides of the equation by y,  

                             x/y = -2/3

Therefore, the ratio x/y has a value of -2/3 provided that y is not equal to zero.  

                             

find the cube root of 0.000216​

Answers

Answer:

0.06

Step-by-step explanation:

hope that helps :))

0.06 is the cube root of 0.000216. Hope this helps!

9.66 rounded to 1 decimal place

Answers

Answer:

9.7

Step-by-step explanation:

When rounding 9.66 to one decimal place we use One Decimal Place Rule #2. Therefore, the answer to "What is 9.66 rounded to 1 decimal place?" is:

your answer would be 9.7

please mark brainelist!!!

the product of two number is 20 and the sum of square is 41 find the number​

Answers

Answer:

Answer. The numbers are 4 and 5. Their sum = 25 + 16 = 41.

Please help with this worksheet

real numbers

Answers

I DO NOT KNOW JUST GIVE ME A SECOND.

Daniela buy records for 9$ each she buys 8 records how much money does Daniela spend

Answers

Answer:

FGCG

Step-by-step explanation:

Answer:   72 dollars

Step-by-step explanation:

each=1

1 record cost 9$

8 record costs (9)(8)$

I did multiplication here

(9)(8)=72 $

QUESTION 1
Find the remaining sides of a 30° -60°-90° triangle if the shortest side is 3.

Answers

Answer:

the other sides are 6 and 3√3

Step-by-step explanation:

Answer:

x = 6

Step-by-step explanation:

Right Triangle

We are given a right triangle whose shortest side has a length of 3 units. This side must be opposite to the smallest acute angle of 30°.

The triangle is shown in the figure attached.

The tangent ratio relates the opposite side with the adjacent side. The formula can be applied to the angle of 30° as follows:

[tex]\displaystyle \tan 30^\circ=\frac{\text{opposite leg}}{\text{adjacent leg}}[/tex]

[tex]\displaystyle \tan 30^\circ=\frac{3}{y}[/tex]

Solving for y:

[tex]\displaystyle y=\frac{3}{\tan 30^\circ}[/tex]

Since:

[tex]\tan 30^\circ=\frac{1}{\sqrt{3}}[/tex]

[tex]\displaystyle y=3\sqrt{3}[/tex]

Now applying the sine to find the hypotenuse x:

[tex]\displaystyle \sin 30^\circ=\frac{\text{opposite leg}}{\text{hypotenuse}}[/tex]

[tex]\displaystyle \sin 30^\circ=\frac{3}{x}[/tex]

Solving for x:

[tex]\displaystyle x=\frac{3}{\sin 30^\circ}[/tex]

Since:

[tex]\sin 30^\circ=\frac{1}{2}[/tex]

[tex]\displaystyle x=\frac{3}{\frac{1}{2}}[/tex]

x = 6

The table below represents Mark's assets and liabilities.
Item
Value
Pocket Money
$18
Checking Account Balance $45
Loan from friend
$14
Check for mowing lawn $25
What is the total of Mark's liabilities?
O $39
O $25
O $18
O $14

Answers

Answer:

18

Step-by-step explanation:


Help plis plis


18. Find the sum of (x + 3) and
(- x - 4).




Help plis

Answers

Answer:

-1...................

Step-by-step explanation:

x+3-x-4

o-1

-1

Answer :

-1

Explanation:

please mark me brainliest and follow me my friend.

Which operation should you perform first in the expression 12x4 to the 2 power

Answers

Answer:

96

Step-by-step explanation:

12 times 4 gets you 48

48 times 2 gets you 96

True or false: (x−6) is a factor of 4x3−18x2+3x−13.

Answers

Answer:

The answer is false

Write the equation in slope-intercept form. y=7(x+2)+3x
A. y=10x+14
B. y=−10x+14
C. y=9x+15
D. y=−9x+15

Answers

Answer: y = 10x+14  (choice A)

===================================

Work Shown:

y = 7(x+2)+3x

y = 7x+7*2+3x ..... distribute

y = 7x+14+3x

y = (7x+3x)+14

y = 10x+14

This is in y = mx+b form with m = 10 as the slope and b = 14 as the y intercept.

Answer: The answer is A (y=10x+14)

whats -4 1/5 times 1/3 ?

Answers

Answer: -7/5

Step-by-step explanation:

-4(1/5)⋅(1/3)

Convert -4(1/5) to an improper fraction.

A mixed number is an addition of its whole and fractional parts.

− (4 +1/5) ⋅(1/3)

 Add 4 and 1/5

-21/5  ⋅ 1/3

Cancel the common factor of 3.

Move the leading negative in − 21 /5 into the numerator.

−21/5 ⋅ 1/3

Factor 3 out of −21.

3 (−7)/5 ⋅ 3 /1

Cancel the common factor.

Rewrite the expression.

−7 /5

Answer:

- 1 2/5

Step-by-step explanation:

make -4 1/5 and improper fraction which would be -21/5x1/3 then u multiply across and ur answer is -21/15. Then you havw to change it to a mixed number and you would get 1 6/15. This number can be simplified by 3 so it would be - 1 2/5

help asap:)! i will give brainliest

Answers

I think the answer is 2/3

2/3 is the correct answer

Help plz:)))I’ll mark u Brainliest

Answers

Answer:

The answer to the question provided is

[tex] \frac{9}{5} [/tex]

Help do this if possible kk rlly stuck
X^2 – 11x + 18 = 0

Answers

Answer:

x = - 9, x = 2

Step-by-step explanation:

[tex] {x}^{2} - 11x + 18 = 0 \\ \\ {x}^{2} - 9x - 2x + 18 = 0 \\ \\ x(x +9 ) - 2(x + 9) = 0 \\ \\ (x + 9)(x - 2) = 0 \\ \\ x + 9 = 0 \: \: or \: \: x - 2 = 0 \\ \\ x = - 9 \: \: or \: \: x = 2 \\ [/tex]

A baby weighs 8 pounds. How many kilograms is it equal to?
Explain your reasoning. Note: 1 pound equals 0.45 kilograms.

Please hurry

Answers

Answer:

3.6

Step-by-step explanation:

if 0.45 is 1 pound then you could do 8 x 0.45 because the baby is 8 pounds

A job pays $10.00 an hour today.If the same percentage applies to income as well as bread {previous slide}, how much would that job have paid 1955​

Answers

Answer:

67 cents

Step-by-step explanation:

Answer:

67 cents

Step-by-step explanation:

im smart

help I'm confused there are many formulas, and do not know which one is right​

Answers

9514 1404 393

Answer:

  384 cm²

Step-by-step explanation:

It is always a good idea to take a look at what you have and what you are being asked before you go launching into formulas. Then you can pick the formula(s) appropriate to your needs.

__

Your pyramid has a square base, so four (4) triangular faces. The area being asked for is the total of the areas of the square base and those triangular faces.

The formula for the area of a square is ...

  A = s² . . . . . where s represents the side length

Here, the side of the square is 12 cm, so the area of the square base will be ...

  A = (12 cm)² = 144 cm²

__

The formula for the area of a triangle is ...

  A = 1/2bh . . . . . where b is the base length and h is the altitude

In this problem, you're not given the altitude of the triangular face (also called the "slant height" of the triangle). Instead, you're given the height of the pyramid. So, you have to determine the slant height.

Consider the cross section you get when you cut the pyramid with a vertical plane through the peak and the middle of opposite sides. It will be an isosceles triangle with a base equal to the side length of the pyramid, and side lengths equal to the slant height of the pyramid face. See the attachment for an idea of what this looks like.

In order to determine the length of the side of that cross-section triangle, draw its altitude. That is the 8 cm height of the pyramid. Then use the Pythagorean theorem to find the hypotenuse of the right triangle with legs 6 cm and 8 cm:

  slant height = √(8² +6²) = √100 = 10 . . . . cm

Now, we can find the area of one of the four triangular faces:

  A = (1/2)(12 cm)(10 cm) = 60 cm²

__

The surface area of the pyramid is then ...

  surface area = base area + 4 × triangular face area

  surface area = 144 cm² + 4 × 60 cm² = (144 +240) cm²

  surface area = 384 cm²

PLEASE ASAP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I PROMISE ILL MARK BRAINLEIST PLEASE I AM BEGGING YOU!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!


Stephanie swims 4/5 of a mile in 5/6 of an hour.

Enter the number of miles Stephanie swims in 1 hour.

Answers

Hi.. U should do like this

4/5 mile in 50 min

X mile in 60 min

X=5/4 mile

Answer:

5 milesss

:)))

Which set of ordered pairs is linear?
A. {(2, 1), (5, 1), (6, 1)}
B. {(-1, 4), (0, 0), (1, 6)}
C. {(-3, 5), (1, 0), (2, 4)}
D. {(0, 0), (1, 3), (2, 7)}

Answers

C I think I’m not 100% sure tho

y = |cosx|
any body can answer my question ​

Answers

They answered this correctly

Evaluate: (2.3)2

I need help fast !!!!!!!!!!!!!!!!

Answers

Answer:

4.6???

Step-by-step explanation:

Answer: 4.6

(2.3)2

2.3+2.3 = 4.6

y=20+6x
x=150-4x
Solve with equal values method

Answers

Step-by-step explanation:

Identify the method that will be used to solve for x for each equation.

4x=20 division property  fo equality

x-11=9 addition property of eqaulity

5x+6x=22 Combining Like terms

5(x-2)=30 distibute property

HOPE THIS HELPS!!!!!!!!

//////////////////////////////////////////////////////////////////////////////////////////////////////////////

The spring shown below is sitting on a flat surface and it is pushed together with a weight.




What type of energy does the spring currently have?
A.
elastic potential energy
B.
kinetic energy
C.
gravitational potential energy
D.
chemical potential energy
PLEASE I NEED HELP RIGHT NOW PLZZZ!!!

Answers

Answer:

A.elastic potential energy

I Hope It Helps

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The hyphenated nouns hop-scotch and jump-rope serve which of thefollowing poetic functions?A. They display assonance and consonance, respectively.B. They rhyme.C. They suggest an allusion to the goat-footed man.D. They show onomatopoeia.E. They interrupt the children's play. Which type of expenses does nonessential spending include?A. Monthly mortgage paymentsB. Electricity in a homeC. Luxury goods like video gamesD. Interest paid on loansSUBMIT Megan wants to post a picture of her and her friend Jennifer on her social media page. What should Megan do before she posts the picture?A. Add a caption.B. Ask her friend for permission. C. Make sure she looks good. D. Edit the picture using Photoshop. What was still in full force until pearl harbor?A. The dust bowlB. The great depressionC. The roaring twentiesD. ProhibitionPLZ HELP FINAL EXAM!! I have an social studies project due 1/25 mine is about the quartering act if anybody could drop down some facts about it. What growing division between wealthy businessmen and their workers were becoming apparent in the early capitalist economy? Plz help me. Which of the following sentences uses the word whet correctly? The butcher whetted the knife in order to cut the meat more easily. The woodcutter whetted the axe until the tree fell. The knife-maker put on his raincoat because it was whet outside. The surgeon whetted his hands with soap before operating. Can someone pls help me!!A. 5 inchesB. 16 inchesC. 13 inchesD. 19 inches Simplify the polynomial using multiplication.5b(2a3a2)10a+3ba^210ba+15ba^25b+2a3a^210ba15ba^2 The function G(t) = 2t represents the number of guitar lessons, G(t) you can complete in T months. How many guitar lessons can you complete in seven months If quadrilateral ABCD is translated 3 units to the left and 5 units down, what are the coordinates of point B after the translation? options:(3, 15)(-2, -2)(1, 3)(-4, 0) Which answer is correct ????? write an algorithm to find the average of six numbers What happens when males and females bees have s e x There are three quarters, five dimes, and twelve pennies in a bag. When a coin is drawn from the bag, it is replaced. If two coins are drawn at random, determine each probability.7. P(a quarter and then a penny) 8. P(a nickel and then a dime)9. P(two pennies) 10. P(a dime and then a quarter)Please don't just answer for points I actually need help Can I please Get Help with this question ? If you drop a steel metal ball off a building and it takes 3 seconds to hitthe ground, how tall is the building? Determine the solution to the system of equations:y = 3x +4y = 2x + 1 Through which medium would a sound wave travel the fastest, and the slowest? 7x-8