Question

1. which system of equations represents the graph shown?

a. $y=\frac{1}{2}x + 1$
$y=-2x - 4$
b. $y=-\frac{1}{2}x + 4$
$y=2x - 1$
c. $y=-2x + 1$
$y=\frac{1}{2}x - 4$
d. $y=\frac{1}{2}x + 4$
$y=-2x - 1$

Explanation:

Step1: Find slope of first line

Use points $(0,4)$ and $(2,0)$:
Slope $m_1 = \frac{0-4}{2-0} = -2$
Y-intercept $b_1=4$, so equation: $y=-2x+4$

Step2: Find slope of second line

Use points $(0,-1)$ and $(2,0)$:
Slope $m_2 = \frac{0-(-1)}{2-0} = \frac{1}{2}$
Y-intercept $b_2=-1$, so equation: $y=\frac{1}{2}x-1$

Answer:

D. $y=\frac{1}{2}x - 1$, $y=-2x + 4$