Question

a line that includes the point (-2, -7) has a slope of 9. what is its equation in point - slope form? use the specified point in your equation. write your answer using integers, proper fractions, and improper fractions. simplify all fractions.

Explanation:

Step1: Recall point - slope formula

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

Step2: Substitute values

Given the point $(-2,-7)$ where $x_1=-2$ and $y_1 = - 7$, and slope $m = 9$. Substituting these values into the formula, we get $y-(-7)=9(x - (-2))$.

Step3: Simplify the equation

$y + 7=9(x + 2)$

Answer:

$y + 7=9(x + 2)$