Question

find the y-intercept and the slope of the line.
-4x + 2y = -6
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 $-4x + 2y=-6$.
First, we isolate $y$ on one side of the equation. Add $4x$ to both sides: $2y=4x - 6$.
Then, divide each term by 2: $y=\frac{4x}{2}-\frac{6}{2}$, which simplifies to $y = 2x-3$.

Step2: Identify the slope and y - intercept

From the equation $y = 2x-3$, which is in the form $y=mx + b$:

• The coefficient of $x$ is the slope. So, the slope $m = 2$.
• The constant term is the $y$-intercept. So, the $y$-intercept $b=-3$.

Answer:

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