Question

the equation of a line is given below.
2x - 4y = 8
find the slope and the y-intercept.
then use them to graph the line.

Explanation:

Step1: Rewrite in 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 given equation $2x-4y = 8$.
First, we isolate $y$:
Subtract $2x$ from both sides: $- 4y=-2x + 8$.
Then divide each term by $-4$: $y=\frac{-2x}{-4}+\frac{8}{-4}$.
Simplify the fractions: $y=\frac{1}{2}x-2$.

Step2: Identify slope and y - intercept

From the equation $y=\frac{1}{2}x - 2$, comparing with $y = mx + b$, we can see that the slope $m=\frac{1}{2}$ and the $y$-intercept $b=-2$.

Answer:

slope: $\frac{1}{2}$
y - intercept: $-2$