Question

a line with a slope of 9 passes through the point (-10, 3). 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 $m$ is the slope and $(x_1,y_1)$ is a point on the line.

Step2: Identify values of $m$, $x_1$ and $y_1$

Given $m = 9$, $x_1=-10$ and $y_1 = 3$.

Step3: Substitute values into formula

Substitute the values into $y - y_1=m(x - x_1)$: $y - 3=9(x-(-10))$.

Step4: Simplify the equation

$y - 3=9(x + 10)$.

Answer:

$y - 3=9(x + 10)$