Write the equation of the line that passes through the points (−3, 5) and (2, -10) in slope-intercept form.​

Answers

Answer 1

Answer:

[tex]y=-3x-4[/tex]

Step-by-step explanation:

Hi there!

Slope intercept form: [tex]y=mx+b[/tex] where m is the slope and b is the y-intercept (the value of y when the line crosses the y-axis)

1) Determine the slope (m)

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex] where the two given points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug in the given points (−3, 5) and (2, -10)

[tex]m=\frac{-10-5}{2-(-3)}\\m=\frac{-10-5}{2+3}\\m=\frac{-15}{5}\\m=-3[/tex]

Therefore, the slope is -3. Plug -3 into [tex]y=mx+b[/tex] as m:

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

2) Determine the y-intercept (b)

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

Plug one of the given points, (−3, 5) or (2, -10) into the equation and isolate b

[tex]5=-3(-3)+b\\5=9+b[/tex]

Subtract 9 from both sides

[tex]5-9=9+b-9\\-4=b[/tex]

Therefore, the y-intercept is -4. Plug -4 into [tex]y=-3x+b[/tex] as b:

[tex]y=-3x-4[/tex]

I hope this helps!


Related Questions

A square has an area of 9 sq.m and has a perimeter which is equal to the
perimeter of an equilateral triangle. What is the area of the equilateral triangle?​

Answers

since 9=3^2 that means each side is 3m and thus the perimeter being 12m and the area of a triangle is half times base times height which means 12 times half equals 6 times 12 which equals 72 therefore ur andwer would be 72 square metres

CAN SOMEONE PLEASE HELP ME!!!!!

Answers

9514 1404 393

Answer:

  $7.00 per week

Step-by-step explanation:

The balance at the end of week 1 is $39-32 = $7.00 higher than at the start. The rate of change is $7.00 per week.

Answer:

$ 7.00 per week

Step-by-step explanation:

#CarryOnLearning

PLS HELP MEEE I WILL GIVE BRAINLY THINGY

Answers

Answer:

125

Step-by-step explanation:

5 x 5 = 25

25 x 5 = 125

Answer:

the value of 5³ is 125 all you have to do is 5×5×5=125

what is 15 2/9 as a whole number

Answers

Answer: Unless you round it to a whole number the answer would be 15.2 but if you round to a whole number it would just be 15 lol.

a whole number is a number without decimals or fractions, so it would just be 15 (you have to round) :)

Simplify 6 -square root of 15 divided by 2

Answers

Answer:

hjyfgtuygtfvfvhjkoijuhgytfrdetrft

Step-by-step explanation:

dcfgvhbjnkiouytrfdr

Answer:

-2.94

Step-by-step explanation:

I got the answer correct on edge

Jack is learning to save, spend, and give his money away. He has determined to give away 10% of his summer earnings. If he gives away 256 dollars, then how much did he each this summer?

Answers

Answer:

$2,560

Step-by-step explanation:

Just multiply 256 by 10, and you get his money earned.

Mr.Rosado is buying a jacket that regularly cost $40. It is on sale for 20% off. The store also adds a tax of 8%. After tax, how much does Mr.Rosado pay for the jacket?

Answers

Answer:

$11.20

Step-by-step explanation:

Answer:

$34.56

Step-by-step explanation:

32x.08=2.56

40x.2=8

40-8=32

32+2.56=34.56

6. Factor 4x from 22x2 + 40x 6.​

Answers

6. Factor 4x from 22x2 + 40x 6.​

is that multiply 4x 22x2 +40x6

Answer:

I think that would be 4(71 - ×)

Guys pls help me!!!!!

Answers

Answer:

13 1/5 Kilometers

Step-by-step explanation:

you times 4 1/2 by 3 because if she runs 4 1/2 in a third of an hour then she runs 4 1/2 3 times every hour.

A bag contains 8 red M&Ms, 13 blue M&Ms, 4 brown M&Ms, and 8 green M&Ms. An M&M is picked at random from the bag. What is the probability of picking: A Red M&M:

Answers

Given:

Number of red M&Ms = 8

Number of blue M&Ms = 13

Number of brown M&Ms = 4

Number of green M&Ms = 8

An M&M is picked at random from the bag.

To find:

The probability of picking a red M&M.

Solution:

We have,

Number of red M&Ms = 8

Total number of M&Ms [tex]= 8+13+4+8[/tex]

                                       [tex]=33[/tex]

So, probability of picking a red M&M is:

[tex]\text{Probability}=\dfrac{\text{Number of red M&Ms}}{\text{Total number of M&Ms}}[/tex]

[tex]\text{Probability}=\dfrac{8}{33}[/tex]

Therefore, the probability of picking a red M&M is [tex]\dfrac{8}{33}[/tex].

help? ill give brainliest

Answers

Answer: A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Hope this helps also I had this on a test and it was right

The following table represents the total cost, in dollars (y) to join a gym for x number of months. The cost includes a one-time joining fee of 10$. Does the data in the table represent a proportional relationship? How do you know?

Answers

Answer:

The table does not represent a proportional relationship because the ratio of the y-values to the corresponding x-value at each data point is not constant

y/x ≠ Constant

Step-by-step explanation:

The table of values for the total cost in dollars (y) to join a gym for "x" number of months is presented as follows;

x; 1, 2, 3, 4, 5

y; 25, 40, 55, 70, 85

The rate of change of the data in the table is given by the following formula;

[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

Between the 1st and the 3rd point, we have;

m = (55 - 25)/(3 - 1) = 15

Between the 1st and the 5th point, we have;

m = (85 - 25)/(5 - 1) = 15

Therefore, the rate of change of the y values  per unit change of the x-value is 15

Therefore, the "x" and y-values have a linear relationship

However, for a proportional relationship, we have;

y/x = Constant

At the 1st point, we have;

25/1 = 25

At the 3rd point, we have;

55/3 = 18.[tex]\overline 3[/tex]

∴ y/x is not constant and the the data in the table does not represent a proportional relationship.

The graph below shows the amount of money Johnny saved for 12 months. Which amount is closest to Johnny's rate of saving over those 12 months?
A. $14.00 per month
B. $13.75 per month
C. $15.00 per month
D. $7.14

Answers

The answer is A.
look at the graph and see that when x=12 the y value is nearly $170. then divide 170 by 12 and you get 14.16

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

What are coordinates in a graph?

The coordinates in a graph indicate the location of a point with respect to the x-axis and y-axis.

The coordinates in a graph show the relationship between the information plotted on the given x-axis and y-axis.

We have,

From the graph, we have the following coordinates.

= (5, 70)

This means after 5 months $70 is saved.

= (10, 140)

This means after 10 months $140 is saved.

Johnny's rate of savings.

= Change in the savings amount/change in the months

= (140 - 70) / (10 - 5)

= 70/5

= $14

Thus,

Johnny's rate of saving over the 12 months is $14 per month.

Option A is the correct answer.

Learn more about coordinates here:

https://brainly.com/question/13118993

#SPJ2

The speed of light is approximately 3x10^8 m/s. How far does light travel in
240 seconds?
7.2x10^10 m
7.2x10^-10 m
1.25x10^6 m
1.25x10^-6 m

Answers

Answer:

7.2*10^10m

Step-by-step explanation:

3*10^8 multiplied by 240 gives 72000000000.

In scientific notation, this is 7.2*10^10.

Therefore, 7.2*10^10m.

Answer:

1.25x10^_6 m this my own answe

what the answer of ½ ÷ ½

Answers

Answer:

its 1

Step-by-step explanation:

PLZ HELP NOW IM FAILING THIS CLASS (work not needed... just answers)

Answers

Answer:

1.D

2.B

Step-by-step explanation:

question 1

-2(2)²+1/3(2)

-7/6

question 2

(-4x-2)(2x)

-8x²-4x

4+5 4+5 4+5 4+5 ...................

Answers

Answer:

69

Step-by-step explanation:

Answer:

9 9 9 9...................

Step-by-step explanation:

i d k if you meant 54 or 5 and 4

A dance studio requires each dancer to pay a registration fee plus an hourly rate for all lessons. If the total cost, y, of a dancer's lesson is modeled by the equation y = 25x + 50, how could the y-intercept be interpreted?

Answers

Answer:

(0,50)

Step-by-step explanation:

Given the total cost of a dancers lesson  modeled by the equation y = 25x + 50, the y intercept occurs at the point where x = 0.

Substitute x = 0 into the expression

y = 25x + 50

y = 25(0) + 50

y = 0+50

y = 50

Hence the y intercept is (0, 50). This shows that the total cost of the dancers lesson registration fee is 50

Darion buys 2 pounds of almonds for $21.98 and 3 pounds of dried apricots for $26.25. Which is less expensitve per pound?

Answers

Answer:

Dried Apricots

Step-by-step explanation:

Divide dollars per pound to find amount per pound and then compare.

Help me find the volume

Answers

Answer:

volume formula: b*w*h

(base times width times height)

Step-by-step explanation:

here, we can see the base is 2mm, the length is 2mm, and the height is 3mm.

so, if we put them in as the base, width, and height, we get

2*2*3

then, multiply!

2*2*3

= 4*3

= 12

so, the answer is 12 cubed millimeters.

Find the volume of this cone.
Round to the nearest tenth.
10ft
6ft

Answers

Answer:

433.5

Step-by-step explanation:

The volume of the cone with a radius of 6ft and a height of 10ft is approximately 301.4 cubic feet.

What is the volume of the cone?

A cone is simply a 3-dimensional geometric shape with a flat base and a curved surface pointed towards the top.

The volume of a cone is expressed as;

V = (1/3)πr²h

Where r is the radius of the base, h is the height of the cone and π is constant pi ( π = 3.14 ).

From the diagram:

Slant height l = 10 ft

Radius r = 6 ft

Height h =?

Volume V =?

First, we determine the height of the cone using Pythagoras theorem:

h² = 10² - 6²

h² = 100 - 36

h² = 64

h = √64

h = 8

Plug the values into the above formula and solve for the volume:

V = (1/3)πr²h

V = (1/3) × 3.14 × 6² × 8

V = (1/3) × 3.14 × 36 × 8

V = 301.4 ft³

Therefore, the volume is approximately 301.4 cubic feet.

Learn more on volume of cones here: brainly.com/question/1984638

#SPJ2

What is the volume of the triangular prism below?

Answers

Answer:

15cm

Step-by-step explanation:

Answer:

30 cmcubed

Step-by-step explanation:

hope it helps your friend if I'm wrong tell i will try it out again good day.

Can someone help with this question??

Answers

D 11 1/4

Step-by-step explanation:

3/4 + 1 1/2 is 2 1/4

2 1/4 x 5 is 11 1/4

Figure ABCD is a parallelogram. What is the value of x? А B O 6 07 8 5x + 3 38 9 D C​

Answers

Answer:

7

Step-by-step explanation:

7 times 5 is 25 +3 is 38

The value of x is equal to 7.

Quadrilaterals

There are different types of quadrilaterals, for example: square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles. For example,  the opposite sides for a parallelogram are equal and parallel.

Considering that the opposite sides of the  parallelogram (ABCD)  are equal and parallel, so AD=DC.  Therefore,

                                 5x+3=38

                                 5x=38-3

                                 5x=35

                                 x=7

Read more about the parallelogram here:

https://brainly.com/question/20526916

Please help
solve the system of equations

Answers

Answer:

(x, y) = ( 5, 6)

(x, y) = ( - 1, 0)

Step-by-step explanation:

[tex] \begin{cases} y + x^2 - 5x = 6\\\\ y - x = 1\implies y = x + 1\end{cases} [/tex]

Plug [tex] y = x +1 [/tex] in the equation [tex] y + x^2 - 5x = 6[/tex] we find:

[tex] x + 1 + x^2 - 5x = 6[/tex]

[tex] x^2 - 4x - 5=0[/tex]

[tex] x^2 - 5x +x- 5=0[/tex]

[tex] x(x - 5) +1(x- 5)=0[/tex]

[tex] (x - 5) (x+1)=0[/tex]

[tex] (x - 5) =0, \: (x+1)=0[/tex]

[tex] x =5, \: x=-1[/tex]

[tex] When \:x =5 \implies y =5+1=6 [/tex]

(x, y) = ( 5, 6)

[tex] When \:x =-1 \implies y =-1+1=0 [/tex]

(x, y) = ( - 1, 0)

Which quadratic function is represented by the graph?

f(x) = 0.5(x + 3)(x − 1)
f(x) = 0.5(x − 3)(x + 1)
f(x) = 2(x + 3)(x − 1)
f(x) = 2 (x − 3)(x + 1)

Answers

Answer:

f(x) = 0.5(x + 3)(x − 1)

PLZ HELP ME
find measure of arc STU
39
219
135
141

Answers

Answer:

Step-by-step explanation:

141

plz help me pls
8 hr = _________ min

30 min = _________ s

15 hr = ___________ min

5 yr = ____________d

7 d = ____________ hr

24 hr = __________ min

600 s = __________ min

60,000 min = __________ hr

Answers

Answer:

8hr=480min

30min=1800sec

15hr=900min

5yr=1825d

Step-by-step explanation:

What is the distance between (-3, 5) and
(-7,5)

Answers

the distance is 4 units down

Answer:

The distance between these two coordinates is 4.

Step-by-step explanation:

[tex]x_{2} - x_{1}[/tex]

[tex]y_{2} - y_{1}[/tex]

- 7 - (-3) = 4

5 - 5 = 0

4 + 0 = 4

What appears to be the domain of the part of the exponential function graphed? A) x ≤ 1 B) h(x) ≤ 1 C) x ≤ 5 D) h(x) ≤ 5

Answers

A) x is less than it equal to 1 because your domain can’t have h(x) because that’s your function and would be your range but in this case it’s your domain and your domain or else known as the x coordinate would have to be the number on the x axis that your line starts, your line begins on line 1 on the x axis which would be your domain
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