Question

find the x-intercept and the y-intercept of the line below. click on
one\ if applicable.
(a) x-intercept:
(b) y-intercept:
none

Explanation:

Step1: Analyze the x - intercept

The x - intercept is the point where the line crosses the x - axis. The line in the graph is a vertical line. A vertical line has the equation \(x = a\) (where \(a\) is the x - coordinate of all points on the line). From the graph, the vertical line crosses the x - axis at \(x = 2\). So the x - intercept is the point \((2,0)\), and the x - intercept value (the x - coordinate) is \(2\).

Step2: Analyze the y - intercept

The y - intercept is the point where the line crosses the y - axis. A vertical line \(x = 2\) is parallel to the y - axis (since the y - axis is \(x = 0\)). Parallel lines do not intersect, so the vertical line \(x = 2\) never crosses the y - axis. Therefore, there is no y - intercept, or we can say the y - intercept is "None".

Answer:

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