Question

1. which line appears to have an x - intercept of - 5 and a y - intercept of 3?

Explanation:

Step1: Recall the definitions of x - intercept and y - intercept

The x - intercept is the point where the line crosses the x - axis (\(y = 0\)), and the y - intercept is the point where the line crosses the y - axis (\(x = 0\)). We need to check each graph for the points \((-5,0)\) (x - intercept) and \((0,3)\) (y - intercept).

Step2: Analyze graph a

For graph a, when \(x=-5\), \(y = 0\) and when \(x = 0\), \(y=5\). So, it does not have the required y - intercept.

Step3: Analyze graph b

For graph b, when \(x=-5\), \(y
eq0\) and when \(x = 0\), \(y=-3\). So, it does not have the required intercepts.

Step4: Analyze graph c

For graph c, when \(x=-5\), \(y = 0\) and when \(x = 0\), \(y = 3\).

Step5: Analyze graph d

For graph d, when \(x=-5\), \(y
eq0\) and when \(x = 0\), \(y=-6\). So, it does not have the required intercepts.

Answer:

C.