Question

what are the vertical and horizontal intercepts of the vertical line through the point (-3,7)? select the correct choice below and fill in any answer boxes within your choice. a. the vertical intercept of the line is (type an ordered pair.) b. there is no vertical intercept. select the correct choice below and fill in any answer boxes within your choice. a. the horizontal intercept of the line is 7 (type an ordered pair.) b. there is no horizontal intercept.

Explanation:

Step1: Recall the equation of a vertical line

A vertical line passing through the point $(x_0,y_0)$ has the equation $x = x_0$. Here, the line passes through $(-3,7)$, so the equation of the line is $x=-3$.

Step2: Analyze the vertical - intercept

The vertical - intercept is the point where the line crosses the y - axis. For a vertical line $x = a$ ($a
eq0$), it never crosses the y - axis. So, there is no vertical intercept.

Step3: Analyze the horizontal - intercept

The horizontal - intercept is the point where the line crosses the x - axis. For the line $x=-3$, it crosses the x - axis at the point $(-3,0)$.

Answer:

B. There is no vertical intercept.
A. The horizontal intercept of the line is $(-3,0)$