How do you write the standard form of the equation of the line passing through the points M(-4,-2) and N(4,7)?

How do you find the slope-intercept form of the equation of the line passing through the points P(2,-9) and Q(3,-7)?

1 answer

for the first:
slope = (7+2)/(4+4) = 9/8

then using the point (4,7)
y-7 = (9/8)(x-4)
8y - 56 = 9x - 36
9x - 8y = -20

check: is (-4,-2) on it?
LS = -36 + 16 = -20
= RS

for the second, find the slope in the same way I did in the first problem
use the point (2,-9) and the slope, sub it into
y = mx + b, solve for b