Question

find the slope and the y-intercept of the line.
-6x + 3y = -9
write your answers in simplest form.
slope:

y-intercept:

Explanation:

Step1: Rearrange to slope-intercept form

Start with $-6x + 3y = -9$
Add $6x$ to both sides: $3y = 6x - 9$

Step2: Isolate $y$

Divide all terms by 3: $y = \frac{6x}{3} - \frac{9}{3}$
Simplify: $y = 2x - 3$

Step3: Identify slope and intercept

Slope is the coefficient of $x$: $2$
y-intercept is the constant term: $-3$

Answer:

slope: $2$
y-intercept: $-3$