Write the equation of the lines described.
The line has a y-intercept of (0,3) and goes
through the point (2,7)

Answers

Answer 1

Answer:

y=2x+3

Step-by-step explanation:

Hi there!

We want to write the equation of the line

We are given that the y-intercept of the line is (0,3) and that the line also goes through the point (2,7)
There are many ways to write the equation of the line, but the most common way is slope-intercept form, which is given as y=mx+b, where m is the slope and b is the y intercept

The value of b is actually the value of y in the point making point of the y intercept
In this case, that point would be 3

So the value of b in this case is 3

Substitute 3 as b into the equation:
y=mx+3

Now we need to find m

As the equation passes through the point (2,7), we can use it to help solve for the value of m

Substitute 2 as x and 7 as y into the equation:

7=2m+3

Subtract 3 from both sides

4=2m

Divide both sides by 2

m=2

Substitute 2 as m into the equation:

y=2x+3

Hope this helps!

Take a look here if you wish to have a similar problem for practice (n.b., the solution uses a different method than the one shown here): https://brainly.com/question/7457022


Related Questions

Theo saved $20 of his allowance money to buy art supplies. He bought a box of oil pastels for $6.20 and then spent ⅓ of the remaining money on new paintbrushes.

How much money did Theo have remaining/left after buying oil pastels?

Answers

Answer:

$13.80

Step-by-step explanation:

if it's only asking how much he had after buying the oil pastels, it's just 20-6.20 which is 13.80

soit f la fonction qui a x associe le nombre 3x-1. La valeur de f(4+1) est ?

Answers

Jangan Mencoba Menikamku Dari Benakmu

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

Answers

Answer:

Tessa receives £60

Step-by-step explanation:

The ratio is 5:3 so 5+3=8 which is then what you use to divide 96

96/8=12

12x5(the 5 comes from the ratio for Tess) is 60 therefore she receives £60

Answer:

60£

Step-by-step explanation:

Tesa and Vivienne share £96 in the ratio 5:3. How much does Tesa receive?​

96 : (5 + 3) = 12

12 * 5 = 60

I need help with this question quick :,) please answer lol

Answers

Answer:

y=6x-4

Step-by-step explanation:

First find the slope using the coordinates of (-1,-10) which will be your first pair x1 and y1. And (3,14) will be x2 and y2. To find the slope use this formula: m= y2-y1/x2-x1

Put the numbers of the coordinates in the formula and you get a fraction of

24/4 = 6 this is the slope

m=6

Then to find the y-int

Pick a coordinate they both will give the same answer. Put it into the point slope formula: y-y1=m(x-x1)

Only use y1, x1, and m which is 6 And solve

y-14=6(x-3) distribute the 6 this gives you
y-14=6x-18 to get y by itself, ADD 14 to both sides of the equal sign

Leaving you with y=6x-4


Write the equation of the line that has a slope of 3/4 and yintercept of -7

Answers

Answer:

y= 3/4x -7

Step-by-step explanation:

equation of a line

y= mx+b

the slope is m

and the y intercept is b

in this case it would be

y= 3/4x -7

Answer:

Step-by-step explanation:

y = mx + b

y = 3/4x - 7

Hope this helps!

What is the common ratio of the
geometric sequence? 1,2,4,8

Answers

Answer:

r = 2

Step-by-step explanation:

To find the common ratio (r) of a geometric sequence, simply divide a term by its previous term.

   8 ÷ 4 = 2

or, 4 ÷ 2 = 2

or, 2 ÷ 1 = 2

WORK The ecology club is landscaping a local park. Dell can plant a flower bed in 3 hours. Max can plant a flower bed of the same size in 4 hours. a. Using t, time in hours, write an expression representing how many flower beds they will complete in t hours working together.

Answers

Step-by-step explanation:

this simply means that Dell can do 1/3 of the work in 1 hour, and Max can do 1/4 of the work in 1 hour.

so, working together, they can complete 1/3 + 1/4 of the work in 1 hour.

to really add these fractions, we need to bring them to the same denominator by finding the smallest (or lowest) common multiple of the existing denominators, which is in this very simple case just 3×4 = 12

1/3 + 1/4 = 4/12 + 3/12 = 7/12

therefore, together they can complete 7/12 of a flower bed in 1 hour.

so, by defining the variable fb as the number of completed flower beds :

fb = 7/12 × t

CAN SOMEBODY PLEASE HELP ME ASAP!!!! will mark brainliest
Tom is making a cover for a box that is 4.5 feet long and 23 inches wide. What will be the area of a cover in square inches?

Answers

Answer:

103.5

Step-by-step explanation:

The area is the height times width, and 4.5 times 23 is 103.5.

Find the volume of the sphere.
Either enter an exact answer in terms of 7 or use 3.14 for and round your final answer to the nearest hundredth.

Answers

Step-by-step explanation:

vol of sphere =

[tex](4 \div 3) \times {5}^{3} \times \pi[/tex]

523.59 units^3

Answer:

523.33 units³

Explanation:

Volume of a sphere = [tex]\frac{4}{3}[/tex]πr³ - Here the radius is 5 and take π as 3.14.

Using the formula:

[tex]\frac{4}{3}[/tex]πr³ [tex]\frac{4}{3}[/tex](3.14)(5)³523.33 units³              [ rounded to nearest hundredth ]

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

Answers

Answer:

less

greater

less

greater

Help me

solve this equation pls


x - -4 = -6

Answers

Answer:

x= -10

Step-by-step explanation:

[tex]x - ( - 4) = - 6 \\ x = - 6 - 4 \\ x = - 10[/tex]

Answer:

[tex]=> \: x = - 10[/tex]

Step-by-step explanation:

=> x - -4 = -6

=> x -( -4 )= -6

=> Collect like terms

=> x = -6 -4

[tex]=> \: x = - 10[/tex]

reply asap!! will give brainliest if i can

Answers

Answer:

-1/2d + f

Step-by-step explanation:

cmon fam I know you know how to do this just find the least common denominator and subtract like terms (numbers with the same variable) and then simplify the fractions

y = 2x + 4
6x – 3y = -12
System by substitution 10 points

Answers

Answer:

(-2, 0)

Step-by-step explanation:

y = 2x+4

6x - 3y = -12

Start by simplifying the second equation by dividing everything by 3 (this will make the math easier)...

2x - y = -4

Then, substitute 2x+4 for y into the second equation (this is because y = 2x+4)...

2x-3(2x+4)=-4

Distribute the -3

2x-3(2x)-3(4)=-4

2x-6x-12=-4

Combine like terms

-4x-12=-4

Add 12 to both sides

-4x-12+12=-4+12

-4x=8

Divide both sides by -4

x=-2

Plug -2 back in for x to solve for y:

y = 2(-2) + 4

y=-4+4

y=0

(x, y) = (-2, 0)

Answer:

Infinitely many solutions

Step-by-step explanation:

[tex]y=2x+4\\ [2] 6x-3y=-12[/tex]  < ------------- Linear equations given

Equations Simplified or Rearranged :

[tex]y - 2x = 4 \\ [2] -3y + 6x = -12[/tex]

Solve by Substitution :

// Solve equation [1] for the variable [tex]y[/tex]

[tex][1] y = 2x + 4[/tex]

// Plug this in for variable[tex]y[/tex]  in equation[tex][2][/tex]

[tex][2] -3*(2x+4) + 6x = -12[/tex]

[2]    [tex]0 = 0 =>[/tex]  Infinitely many solutions

ect the best answer for the question.
What is the slope of a line that passes through (-12,15) and (0,4)?

Answers

Answer:

y = -11/12x + 4

Step-by-step explanation:

(-12,15) and (0.4)

4 - 15 = -11

0 -(-12) = 12 (since minus a negative = positive)

-11/12

Then just put the numbers.

15 = -11/12(-12)

15 = 11 + b

4 = b

Additional Information:

Slopes are really fun to do, but they get tricky and confusing. By the way, I am 14 years old and I did slopes, and I'm not the best at this, so I might be wrong. :( Don't hate me.

Answer:

  -11/12

Step-by-step explanation:

The slope of the line is the difference in y-values divided by the difference in x-values. It is ...

  m = (y2 -y1)/(x2 -x1)

  m = (4 -15)/(0 -(-12)) = -11/12

The slope of the line through the given points is -11/12.

A and B can do a task in t hours.A and b can complete the task in t+2 and t+18 hours respectively.Find t

Answers

Step-by-step explanation:

A can do 1/(t+2) of the task in 1 hour.

B can do 1/(t+18) of the task in 1 hour.

t×1/(t+2) + t×1/(t+18) = t/t = 1 (the full task is done)

t + t×(t+2)/(t+18) = t+2

t×(t+18) + t×(t+2) = (t+2)(t+18)

t² + 18t + t² + 2t = t² + 20t + 36

2t² + 20t = t² + 20t + 36

2t² = t² + 36

t² = 36

t = 6

write 0.44320 in standard form?

Answers

Answer:

4.432 * 10^-1

Step-by-step explanation:

move your decimal so that you have less than 10 before the decimal.

Then count the number of spaces moved (1) and put that in the 10^x (10^-1)

Answer:

[tex]4.432 \times {10}^{ - 1} \\ [/tex]

g(t)-3t-5;Findg(-9) of you could show the steps to solve.

Answers

Step-by-step explanation:

Substitute t = -9:

[tex]g( - 9) = 3( - 9) - 5[/tex]

Solve:

[tex]g( - 9) = - 27 - 5[/tex]

[tex]g( - 9) = - 32[/tex]

What is the image of the point (-4,7) after a rotation of 180° counterclockwise
about the origin?

Answers

(-4,7) 180 counterclockwise is

(4,-7)

Find GCF of 28y^5, and 6300x

Answers

225
hope it helps :))))

If the 0 in the numeral 60428 is changed to 6 , by how much is the new number greater?

Answers

I think it should be 6000 more! If not im so sorry!! Have a nice day!!

a car of mass 1000kg traveling at a speed of 108km/hr a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction​

Answers

Answer:

Step-by-step explanation: a car of mass 1000kg traveling at a speed of 108km/hour a long a level road is brought to stop in a distance of 70m. what was the coefficient of friction Gradyn is waiting for your help. Add your answer and earn points.

what is the solution to 2h + 8 > 3h - 6

Answers

Answer: H<14

Expelnation:2

h

+

8

>

3

h

6

8

>

h

6

(subtract

2

h

from both sides)

14

>

h

(add

6

to both sides)

or

h

<

14

Find the length of the third side if necessary write in simplest radical form

Answers

a^2 + b^2 = c^2

c is the hypotenuse of the right triangle.

answer: 6

-3х + 2 = 2х - 8
Solve for X

Answers

Answer:

x=2

Step-by-step explanation:

you would add -3x on both sides, then that cancels out, and then the equation would be 2=5x-8. Then you would add 8 to both sides then it would be 10=5x. Then you would divide 5 by both sides, then it will be x=2.

Answer:

x=2

Step-by-step explanation:

-3x- 2x= -8 - 2
-5x= -8 -2
-5x= 10
x= -10 dives by -5

X=2

I NEED ALL 3 ASAP IT CLOSES SOON

Answers

Answer:

Slope is (-9/3 or) -3

Y-intercept is 4

Equation is y = - 3x + 4

Hope this helps!

A car travels 10 km southeast and
then 15 km in a direction 60° north of
east. Find the magnitude of the car's
resultant vector.
[?] km
Round to the nearest tenth.

Answers

[tex]\bold{\huge{\green{\underline{Solution}}}}[/tex]

A car travels 10 km southeast and then 15 km in a direction 60° north of east

[tex]\bold{\underline{ To\: Find }}[/tex]

We have to find the magnitude of the car of resultant vector

[tex]\bold{\underline{ Let's \: Begin }}[/tex]

Here,

In South east, car travels = 10km

In North of east, it travels = 15km

Angle between south east and north east is 60°

Therefore,

According to parallelogram law of resultant vector

If two vectors are represented by two adjacent sides of a parallelogram drawn from a point , the their resultant is equal to the diagonal of the parallelogram.

That is,

[tex]\sf{ R = AC^{2}= A^{2}+ B^{2}}[/tex]

But, we have to calculate the magnitude of the resultant vector

[tex]\sf{ | R |= √A^{2}+ B^{2}+ 2ABCos{\theta} }[/tex]

Subsitute the required values,

[tex]\sf{ | R |=\sqrt{ (10)^{2} + (15)^{2} + 2× 10 × 15 × cos 60{\degree}}}[/tex]

[tex]\sf{ | R | =\sqrt{ 100 + 225 + 20 × 15 × 1/2}}[/tex]

[tex]\sf{ | R | = \sqrt{100 + 225 + 10 × 15 }}[/tex]

[tex]\sf{ | R | = \sqrt{335 + 150 }}[/tex]

[tex]\sf{ | R | = \sqrt{485 }}[/tex]

[tex]\sf{\red{ | R | = 22.02 \: km}}[/tex]

Hence, The magnitude of the car resultant vector is 22.02 km.

Can y’all please help me with this question . I need the answer ASAP!!

Answers

Answer: This is the answer to your equation sorry I had to do It on a doc

Answer:

-4

-4

1

-8

1

Step-by-step explanation:

[tex]x^2-4x-8=0[/tex]

Comparing [tex]ax^2+bx+c=0[/tex]

⇒ a = 1, b = -4 and c = -8

Substituting these values into the quadratic formula:

[tex]x=\frac{-(-4)\pm\sqrt{(-4)^2-4(1)(-8)} }{2(1)}[/tex]

(The numbers you need to fill in the blanks are in bracket)

A spinner has five section labeled ABC D & E the spinner is spun 45 times in there so I recorded in the table what is the experimental probability of the spinner landing on see round to the nearest percent and if necessary

Answers

Answer:

It'll be 18% to the nearest percent

Step-by-step explanation:

2/5 × 45 = 18

Answer:

The answer is 18%

Step-by-step explanation:

The formula to find experimental probability is number of favorable outcomes/total number of trails. Our favorable outcome here is C ( the outcome we want), and it occurs 8 times. The spinner is spun 45 times so there are 45 trials. This means we get 8/45. 8 divided by 45 equals 0.177777778. When rounded up equals 0.18=18%.

Hope this helps for you K12 math test.

8) Which equation represents the relationship between b and c?
A) C = 70b
B) C = b + 70
C) c = 140b
D) C = b + 140

Answers

Answer:

C=70b

Step-by-step explanation:

multiply each number in b by 70  to get the correct answer of c

Fill in the blank with the correct response.
Twenty-seven is 25% of _____?

Answers

108 is the answer 25% of 108

Twenty-seven is 25% of 108

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