Answer
$y=-x+3$
Work Step by Step
We are given that two points on the line are $(-2,5)$ and $(-4,7)$.
First, we find the slope of the line using the slope formula.
$m=\frac{7-5}{-4-(-2)}=-\frac{2}{2}=-1$
Next, we use one of the given points to write an equation for the line using point-slope form.
$y-y_{1}=m(x-x_{1})$
$y-5=-1(x-(-2))=-1(x+2)$
Use the distributive property to simplify the right side.
$y-5=-x-2$
Add 5 to both sides.
$y=-x+3$