Question

find the y-intercept and the slope of the line.
6x + 2y = -4
write your answers in simplest form.
y -intercept:
slope:

Explanation:

Step1: Convert to slope - intercept form

The slope - intercept form of a line is $y = mx + b$, where $m$ is the slope and $b$ is the $y$-intercept. We start with the equation $6x+2y=-4$.
Subtract $6x$ from both sides: $2y=-6x - 4$.
Then divide each term by 2: $y=\frac{-6x}{2}-\frac{4}{2}$, which simplifies to $y=-3x - 2$.

Step2: Identify slope and y - intercept

From the equation $y=-3x - 2$, comparing with $y = mx + b$, we can see that the slope $m=-3$ and the $y$-intercept $b = - 2$.

Answer:

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