Write the equation of the line through (0, −2) and (2, 8) in point-slope form.

the line through (0, −2) and (2, 8) in point-slope form

(0,-2)(2,8)
slope = (8 - (-2) / (2 - 0) = 10/2 = 5

There can be 2 answers to this...

y - y1 = m(x - x1)
slope(m) = 5
(0,-2)...x1 = 0 and y1 = -2
sub
y - (-2) = 5(x - 0) =
y + 2 = 5(x - 0) <=== this is one answer

y - y1 = m(x - x1)
slope(m) = 5
(2,8)...x1 = 2 and y1 = 8
sub
y - 8 = 5(x - 2) < this is the other answer