Question

the equation of a line is given below.
-9x + 3y=-12
find the slope and the y - intercept. then use them to graph the line.
slope:
y - intercept:

Explanation:

Step1: Rewrite the equation in slope - intercept form $y = mx + b$

Starting with $-9x + 3y=-12$, add $9x$ to both sides: $3y=9x - 12$. Then divide each term by 3: $y = 3x-4$.

Step2: Identify the slope and y - intercept

In the slope - intercept form $y=mx + b$, $m$ is the slope and $b$ is the y - intercept. For $y = 3x-4$, the slope $m = 3$ and the y - intercept $b=-4$.

Answer:

slope: $3$
y - intercept: $-4$