Determine the equation that passes through the points (-4, -12) and (-8, 2)

Answer 1

the slope of the line through (-4, -12) and (-8,2) = (2--12)/(-8--4) = 14/-4

= 7/-2 = (y-2)/(x+8)

slope is the difference in y coordinates divided by the difference in x coordinates = "rise over run"

cross multiply to obtain

7x + 56 = -2y +4

add 2y - 4 to both sides to get

7x +2y + 52 = 0 is the equation through the given points.

check the answer, plug in the points

for (-4, -12) 7(-4) +2(-12) + 52 = -28 -24 + 54 = 0

for (-8, 2) 7(-8) +2(2) + 52 = -56 +4 + 52 = 0