Question

1. create an equation whose slope is -4 through the point (-5,7).

Explanation:

Step1: Recall point - slope form

The point - slope form of a line is $y - y_1=m(x - x_1)$, where $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Step2: Substitute values

Given $m=-4$, $x_1=-5$ and $y_1 = 7$. Substitute into the point - slope form: $y - 7=-4(x-(-5))$.

Step3: Simplify the equation

$y - 7=-4(x + 5)$
Expand the right - hand side: $y-7=-4x-20$.
Add 7 to both sides to get the slope - intercept form: $y=-4x-13$.

Answer:

$y=-4x - 13$