What is the equation in point−slope form of the line passing through (−2, −5) and (2, 3)?

(-2,-5)(2,3)

slope(m) = (3 - (-5) / (2 - (-2) = (3 + 5) / (2 + 2) = 8/4 = 2

There can be 2 answers for this...

y - y1 = m(x - x1)

slope(m) = 2

(-2,-5)x1 = -2 and y1 = -5

sub

y - (-5) = 2(x - (-2) =

y + 5 = 2(x + 2) <== this is one of them

y - y1 = m(x - x1)

slope(m) = 2

(2,3)...x1 = 2 and y1 = 3

sub

y - 3 = 2(x - 2) <== this is the other one

the answer is 5/3x+7/5y+7