point slope
the equaiton of a line passing through the point (x1,y1) and having a slope of m is
y-y1=m(x-x1)
and the slope between 2 points, (x1,y1) and (x2,y2) is (y1-y2)/(x1-x2)
so
find slope first
(-2,-5)
(2,3)
slope=(-5-3)/(-2-2)=-8/-4=-2/-1=2
m=2
pointn is (2,3) and (-2,-5)
the answer is
y-3=2(x-2) or
y+5=2(x+2)
