Write the line through (0,-2) and (4,6) in point form

(0,-2)(4,6)
first we find the slope by using the slope formula : slope(m) = (y2 - y1)/(x2 - x1)

slope(m) = (6 - (-2) / (4 - 0) = (6 + 2)/4 = 8/4 = 2

point slope form : y - y1 = m(x - x1)... 2 answers are possible 

y - y1 = m(x - x1)
slope(m) = 2
using points (0,-2)x1 = 0 and y1 = -2
y - (-2) = 2(x - 0)
y + 2 = 2(x - 0) <=== here is one answer

y - y1 = m(x - x1)
slope(m) = 2
using points (4,6)...x1 = 4 and y1 = 6
y - 6 = 2(x - 4) <== here is the other answer