Question

find the y - intercept and the slope of the line.
-2x + 8y = 4
write your answers in simplest form.
y - intercept:
slope:

Explanation:

Step1: Rewrite in slope - intercept form

The slope - intercept form is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept. Start with $-2x + 8y=4$. Add $2x$ to both sides: $8y=2x + 4$.

Step2: Solve for $y$

Divide each term in $8y=2x + 4$ by 8. We get $y=\frac{2}{8}x+\frac{4}{8}$.

Step3: Simplify the equation

Simplify $\frac{2}{8}x+\frac{4}{8}$ to $y = \frac{1}{4}x+\frac{1}{2}$. So the slope $m=\frac{1}{4}$ and the y - intercept $b = \frac{1}{2}$.

Answer:

y -intercept: $\frac{1}{2}$
slope: $\frac{1}{4}$