We know a line and we know the slope
Using point slope form of a line
y-y1 = m(x-x1) where m is the slope and (x1,y1) is a point on the line
(y--3) = 2/3(x-7)
y+3 = 2/3(x-7)
We know one point (7,-3)
Let x = 4
y+3 = 2/3(4-7)
y+3 = 2/3(-3)
y+3 =-2
y = -2-3
y = -5
(4,-5)
Let x = -2
y+3 = 2/3(-2-7)
y+3 = 2/3(-9)
y+3 = -6
y = -6-3
y = -9
(-2,-9)