(-10, 7), (5,-3) in slope intercept form
step 1
Find the slope
m=(-3-7)/(5+10)
m=-10/15
m=-2/3
step 2
Find the equation of the line in slope intercept form
y=mx+b
we have
m=-2/5
point (5,-3)
substitute
-3=(-2/5)(5)+b
-3=-2+b
b=-3+2
b=-1
therefore
y=-(2/5)x-1