Question

Find the y-intercept of each line defined below and compare their values

Answer 1

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

Explanation:

We need to find y-intercept of both lines A and B

Equation of Line A

`y=-(1)/(2)x +2`

The equation is in slope intercept form
`y=mx+b` 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