## (-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
3 hours 2021-09-15T22:52:27+00:00 1 Answer 0

1. 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.