Answer
bx+ay = ab is the required equation
Work Step by Step
The line contains(0,b) and (a,0)
To find the equation of the line.
To use the point slope form, we need to find the slope of the line using (-2,0) and (4,3)
m = $\frac{y2-y1}{x2-x1}$ = $\frac{0-b}{a-0}$ =$\frac{-b}{a}$
then, y-y1 = m(x-x1)
y-b =$\frac{-b}{a}$ (x-0)
y - b= $\frac{-b}{a}$ x
ay - ab = -bx
bx+ay = ab