Question

What is the x-coordinate of the x-intercept of the line that passes through points (-5, 3) and (1, -3)?

Answer 1

Remember the slope of a line is always going to be equal.
You're trying to find a point \((x, 0)\).
So \[
\frac{-3-3}{1-(-5)}=\frac{-3-0}{1-x}
\]

Answer 2

So simplify it and then cross multiply to solve for \(x\).

Answer 3

-2?

Answer 4

Let's see. It simplifies to \[
\frac{-6}{6}=\frac{-3}{1-x}\implies 3=1-x\implies x=-2
\]

Answer 5

It looks like you got it right.