Question

question
find the slope of the line represented by the equation below.
-3x + 3y = -12

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. We start with the equation $-3x + 3y=-12$. First, we add $3x$ to both sides of the equation to isolate the term with $y$:
$3y=3x - 12$

Step2: Solve for y

We divide each term in the equation $3y = 3x-12$ by 3 to solve for $y$:
$y=\frac{3x}{3}-\frac{12}{3}$
Simplifying the right - hand side, we get $y = x - 4$. In the slope - intercept form $y=mx + b$, the coefficient of $x$ is the slope. Here, the coefficient of $x$ is 1.

Answer:

The slope of the line is 1.