(-7,-3) and (-12,5) What passes through the slope intercept

Question

(-7,-3) and (-12,5)
What passes through the slope intercept

in progress 0
Hailey 3 hours 2021-09-15T22:52:27+00:00 1 Answer 0

Answers ( )

    0
    2021-09-15T22:54:17+00:00

    Find the slope of the line through (x1,y1) = (-7,-3) and (x2,y2) = (-12,5)

    m = (y2 – y1)/(x2 – x1)

    m = (5 – (-3))/(-12 – (-7))

    m = (5 + 3)/(-12 + 7)

    m = (8)/(-5)

    m = -8/5

    ————-

    Plug m = -8/5 and (x1,y1) = (-7,-3) into the point slope formula. Solve for y.

    y – y1 = m(x – x1)

    y – (-3) = (-8/5)(x – (-7))

    y + 3 = (-8/5)(x + 7)

    y + 3 = (-8/5)x + (-8/5)(7) …. distribute

    y + 3 = (-8/5)*x – 56/5 …. multiply

    y + 3 – 3 = (-8/5)*x – 56/5 – 3 … subtract 3 from both sides

    y = (-8/5)*x – 56/5 – 15/5 … rewrite “3” as “15/5”

    y = (-8/5)*x – 71/5 …. combine like terms

    This equation is in slope-intercept form y = mx+b with m = -8/5 = -1.6 as the slope and b = -71/5 = -14.2 as the y intercept.

    ————-

    If you want the equation in standard form (Ax+By = C), then you could follow these steps shown below

    y = (-8/5)*x – 71/5

    5y = 5((-8/5)*x – 71/5) … multiply both sides by 5

    5y = -8x – 71

    5y+8x = -8x – 71+8x … add 8x to both sides

    8x+5y = -71

    This is in the form Ax+By = C with A = 8, B = 5, C = -71.

Leave an answer

45:7+7-4:2-5:5*4+35:2 =? ( )