Question

1. what is the equation of the line that has a slope of -2 and passes through the point (-2, 3)? (write your answer in point slope form)

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 $m=-2$, $x_1 = - 2$, and $y_1=3$.

Step3: Substitute values into formula

Substitute $m=-2$, $x_1=-2$, and $y_1 = 3$ into $y - y_1=m(x - x_1)$. We get $y - 3=-2(x+2)$.

Answer:

$y - 3=-2(x + 2)$