Question

what is the slope of the line given by the equation $2x + 9y = -18$?
a. $-2$
b. $-\frac{9}{2}$
c. $-\frac{2}{9}$
d. $2$
e. $9$

Explanation:

Step1: Isolate the y-term

Subtract $2x$ from both sides.
$9y = -2x - 18$

Step2: Solve for y

Divide all terms by 9.
$y = -\frac{2}{9}x - 2$

Step3: Identify the slope

Compare to $y=mx+b$, $m$ is slope.
$m = -\frac{2}{9}$

Answer:

C. $-\frac{2}{9}$