Question

1. $9x + 12y = -36$

ions: graph each equation.
1

Explanation:

Step1: Isolate the y-term

Subtract $9x$ from both sides.
$9x + 12y - 9x = -36 - 9x$
$12y = -9x - 36$

Step2: Solve for y

Divide all terms by 12.
$\frac{12y}{12} = \frac{-9x}{12} - \frac{36}{12}$

Step3: Simplify fractions

Reduce each fraction to lowest terms.
$y = -\frac{3}{4}x - 3$

Answer:

The equation in slope-intercept form is $y = -\frac{3}{4}x - 3$
To graph:

1. Plot the y-intercept at $(0, -3)$
2. Use the slope $-\frac{3}{4}$: move 3 units down and 4 units right from the y-intercept to plot a second point, then draw a straight line through the points.