Answer:
y = x - 12
slope: 1
intercept: -12
Explanation:
To find the slope and intercept of the line, we need to solve the equation for y.
So, the initial equation is
3x - 3y = 36
Subtract 3x from both sides
3x - 3y - 3x = 36 - 3x
-3y = 36 - 3x
Finally divide by -3
[tex]\begin{gathered} \frac{-3y}{-3}=\frac{36}{-3}-\frac{3x}{-3} \\ y=-12+x \\ y=x-12 \end{gathered}[/tex]So, the slope-intercept form of the equation is
y = x - 12
Then, the slope is 1 and the intercept is -12.
