Question

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

Explanation:

Step1: Rearrange to slope-intercept form

Start with the given equation and isolate $y$:
$$6x + 3y = -9$$
Subtract $6x$ from both sides:
$$3y = -6x - 9$$

Step2: Simplify to solve for $y$

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

Step3: Identify y-intercept and slope

In the slope-intercept form $y=mx+b$, $m$ is the slope, and $b$ is the y-intercept (the point $(0, b)$).

Answer:

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