Question

re-write the equation $2x - 4y = 8$ in slope-intercept form.
a. $y = 2x - 2$

b. $y = \frac{1}{2}x + 2$

c. $y = -\frac{1}{2}x - 2$

d. $y = \frac{1}{2}x - 2$

please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Recall slope - intercept form

The slope - intercept form of a linear equation is $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept. We need to solve the equation $2x-4y = 8$ for $y$.

Step2: Isolate the term with y

Subtract $2x$ from both sides of the equation $2x-4y = 8$. We get:
$-4y=-2x + 8$

Step3: Solve for y

Divide every term in the equation $-4y=-2x + 8$ by $- 4$.
For the first term: $\frac{-4y}{-4}=\frac{-2x}{-4}+\frac{8}{-4}$
Simplify each term: $y=\frac{1}{2}x-2$

Answer:

D. $y = \frac{1}{2}x - 2$