Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in slope-intercept form.

Question

Find the equation of the line passing through the points (-2,8) and (8,- 7). Write the equation in
slope-intercept form.

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Khang Minh 5 years 2021-08-30T00:35:19+00:00 2 Answers 190 views 0

Answers ( )

  1. Jezebel
    0
    2021-08-30T00:36:29+00:00
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    Answer:

    Step-by-step explanation:

    y=mx+b\\ \\ m=\frac{-7-8}{8-\ -2}=\frac{-15}{10}=\ -\frac{3}{2}\\ \\ y=\ -\frac{3x}{2}+b,\ (-2,8)\\ \\ 8=\ -\frac{3(-2)}{2}+b\\ \\ 8=3+b,\ b=5\\ \\ y=\frac{10-3x}{2}

  2. thaiduong
    0
    2021-08-30T00:37:14+00:00
    Reply

    Answer:   y  = – 3/2x + 5

    Step-by-step explanation:

    To write the equation in slope intercept form, you will have to find the slope and the y-intercept.

    (-2,8) (8,-7)  

    To find the slope using these points, you will find the difference in the y coordinates and divide it by the difference in the x coordinates.

    -7 – 8 = – 15

    8 – (-2) = 10

       Slope:   -15/10   =  -3/2  

    The slope is  -3/2

    Now using the formula y=mx+b  , use one of the given points and the slope to solve for b , which is the y-intercept.

         8  = -3/2(-2) + b

        8 = 3 + b

       -3     -3

        b = 5

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