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: Identify the line's equation

The graph shows 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 passes through \( x=-3 \) (assuming the grid lines and the position of the vertical line, we can see that the line is at \( x = - 3\)).

Step2: Find the x - intercept

The x - intercept is the point where the line crosses the x - axis. For a vertical line \( x=-3 \), it intersects the x - axis at \( (-3,0) \), so the x - intercept is \( - 3 \).

Step3: Find the y - intercept

A vertical line \( x = - 3 \) is parallel to the y - axis. Parallel lines to the y - axis never intersect the y - axis (except in the case of the y - axis itself, \( x = 0\)). So, there is no y - intercept, or we can say "None".

Answer:

(a) x - intercept: \(-3\)
(b) y - intercept: None