Slope intercept form= y=mx+b.
y=9x-9
Easy
make denomenators the same
Step 1
multiply both sidesby (x)(c)(b+c)
(a)(c)(b+c)+(b)(x)(b+c)=(a)(x)(c)
Step 2
distribute
acb+ac²+xb²+bxc=axc
Step 3
minus (acb+ac²) from both sides
xb²+bxc=axc-acb-ac²
Step 4
minus axc from both sides
xb²+bxc-axc=-acb-ac²
Step 5
undistribute x
x(b²+bc-ac)=-acb-ac²
Step 6
divide both sides by (b²+bc-ac)
Answer:
C(x,y) = (-28,13)
Step-by-step explanation:
If co-ordinates of points A(x1,y1) and (x2,y2) and C is the external point that divides the line AB in ratio m:n then,

Given: A (-6, 3) & B (5, -2) in ratio 2 : 3
Substituting these values in above formula to C(x,y)
C (x,y) = \frac{2\times5-3(-6)}{2-3} , \frac{2(-2)-3(3)}{2-3}
Solving we get
C(x,y) = (-28,13)