PLZ HELP WILL GIVE BRAINLIEST TO WHOEVER ANSWERS FIRST What is the slope-intercept form of the equation of the line that passes through the points (2, 7) and (4, −1)? y=−4x+15 y=−4x+3 y=−4x+30 y=−4x+12

We are given the two points (2,7) and (4,-1). In order to determine the linear equation, we need to find the slope and the y-intercept. First, find the slope m. Let (2,7) be x1 and y1, and let (4,-1) be x2 and y2:

[tex]m=\frac{y_2-y_1}{x_2-x_1} =\frac{-1-7}{4-2}=-8/2=-4[/tex]

Thus, the slope is -4.

Now, to find the y-intercept, we can use the point-slope form. Recall that the point slope form is:

[tex]y-y_1=m(x-x_1)[/tex]

Where (x1, y1) is a coordinate pair and m is the slope.

Use either of the two coordinate pair. I'm going to use (2,7). Substitute them for x1 and y1, respectively:

[tex]y-(7)=-4(x-(2))\\y-7=-4x+8\\y=-4x+15[/tex]

This is also slope-intercept form. The answer is A.

kntordal kntordal · Answer 2 · 2020-08-01T05:44:05+02:00

Answer:

A. y=-4x+15

Step-by-step explanation:

First, you want to find the slope by using the formula

[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

The first step is to put in the right numbers,

[tex]\frac{-1-7}{4-2}[/tex]

Then, subtract the numbers accordingly

[tex]\frac{-8}{2}[/tex]

Then simplify

[tex]\frac{-4}{1}[/tex] or -4

The next step is finding the y-intercept, you can do this by drawing it out or using the formula (i will be using the point (2,7) where y is 7 and x is 2)

y=-4x+b Plug in the values

7=-4(2)+b Multiply

7=-8+b add 8 to both sides to isolate the variable

15=b

so y=-4x+15

Hope this helps, if you have any questions, feel free to ask.

Have a good day! :)