Question

Find an equation of the line passing through the two points. Write an equation in standard form.
(2,0) and (-3,8)

Answer 1

The slope or m = (y1-y2)/(x1-x2). That is, rise over run.
So, m = (8-0)/(-3-2) = 8/(-5) = -8/5
so, the line so far is y= mx+b = -8/5x + b
We plug in the first point:
0=-8/5 (2) + b
solving for b:
8/5 * 2 = b (moved over to other side)
16/5 = b,
so our final equation is:
y = -8/5 x + 16/5

Checking: (plug in values from other point)
8 = -8/5 (-3) + 16/5
8 = 24/5 +16/5 = 40/5 = 8. Done!