Question

question 4 20 pts which system of equations is represented by this graph? y = 1/2x + 3 y=-2/3x + 2 y = 2x+3 y=-3/2x + 2 y = 1/2x + 3 y=-2/3x + 3 y = 1/2x - 6 y=-3/2x + 3

Explanation:

Step1: Recall slope - intercept form

The equation of a line is $y = mx + b$, where $m$ is the slope and $b$ is the y - intercept.

Step2: Analyze y - intercepts from the graph

One line crosses the y - axis at $y = 3$ and the other at $y = 2$.

Step3: Analyze slopes from the graph

One line has a positive slope and seems to have a rise of 1 and run of 2 (so slope $m=\frac{1}{2}$), the other has a negative slope and seems to have a rise of 2 and run of 3 (so slope $m =-\frac{2}{3}$).

Answer:

$y=\frac{1}{2}x + 3$
$y=-\frac{2}{3}x+2$