Answer:
The y-intercept of Line A is 2 and the y-intercept of Line B is -6.
Therefore, the y-intercept of Line A is greater than y-intercept of Line B
Step-by-step explanation:
We need to find y-intercept of both lines A and B
Equation of Line A
[tex]y=-\frac{1}{2}x +2[/tex]
The equation is in slope intercept form [tex]y=mx+b[/tex] where m is slope and b is y-intercept.
Comparing both equations we get b = 2
So, y-intercept of Line A is 2
Graph for Line B
From the graph, the y-intercept can be found by putting x =0.
Looking at the graph, when x =0, the value of y is -6
So, y-intercept of Line B is -6
The y-intercept of Line A is 2 and the y-intercept of Line B is -6.
Therefore, the y-intercept of Line A is greater than y-intercept of Line B
