Question

what is the x-intercept and y-intercept of (-4,5) (10,-2)

Answer 1

first we need to find the slope of the line

$m=\frac{-2-5}{10--4}=\frac{-7}{14}=-\frac{1}{2}$

so the equation of the line is:

$\begin{gathered} y-5=-\frac{1}{2}(x+4)=-\frac{1}{2}x-2 \\ y=-\frac{1}{2}x+3 \end{gathered}$

so the y intercept is (0,3) and the x intercept is (6,0)