Question

find the x - intercept and the y - intercept of the line below. click on
one\ if applicable.
(a) x - intercept:
(b) y - intercept:

Explanation:

Step1: Analyze the x - intercept

The x - intercept is the point where the line crosses the x - axis. For a vertical line of the form \(x = a\), the x - intercept is the value of \(a\) because the line intersects the x - axis at \((a,0)\). From the graph, the vertical line is at \(x = 2\) (since it is a vertical line passing through \(x = 2\) on the x - axis). So the x - intercept is the x - coordinate of the point where the line meets the x - axis, which is \(2\).

Step2: Analyze the y - intercept

The y - intercept is the point where the line crosses the y - axis. A vertical line \(x=a\) (where \(a
eq0\)) is parallel to the y - axis and never intersects the y - axis (except when \(a = 0\), which is the y - axis itself). Since our line is \(x = 2\) (a vertical line not passing through the origin), it does not intersect the y - axis. So there is no y - intercept, or we can say "None".

Answer:

(a) x - intercept: \(2\)
(b) y - intercept: None