Question

find the y-intercept of each line defined below and compare their values.
equation of line a:
$y = -\frac{3}{2}x + 3$
select values from line b:

x	y
-5	0
0	-6
5	-12

answer attempt 1 out of 2
the y-intercept of line a is \boxed{} and the y-intercept of line b is \boxed{}. therefore the y-intercept of line a is \dropdown{} the y-intercept of line b.

Explanation:

Step1: Find y-intercept of Line A

The equation of Line A is in slope - intercept form \(y = mx + b\), where \(b\) is the y - intercept. For the equation \(y=-\frac{3}{2}x + 3\), by comparing with \(y=mx + b\), we can see that \(b = 3\). So the y - intercept of Line A is 3.

Step2: Find y-intercept of Line B

The y - intercept of a line is the value of \(y\) when \(x = 0\). Looking at the table for Line B, when \(x = 0\), \(y=-6\). So the y - intercept of Line B is - 6.

Step3: Compare the y-intercepts

We have the y - intercept of Line A as 3 and the y - intercept of Line B as - 6. Since \(3>-6\), the y - intercept of Line A is greater than the y - intercept of Line B.

Answer:

The \(y\) - intercept of Line A is \(3\) and the \(y\) - intercept of Line B is \(-6\). Therefore the \(y\) - intercept of Line A is greater than the \(y\) - intercept of Line B.