Question

what are the vertical and horizontal intercepts of the vertical line through the point (-6,4)? 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.

Explanation:

Step1: Recall the equation of a vertical line

A vertical line passing through the point $(x_0,y_0)$ has the equation $x = x_0$. For the point $(-6,4)$, the equation of the vertical line is $x=-6$.

Step2: Find 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 does not cross the y - axis. A vertical line $x=-6$ never intersects the y - axis, so there is no vertical intercept.

Step3: Find the horizontal - intercept

The horizontal - intercept is the point where the line crosses the x - axis. For the line $x=-6$, it crosses the x - axis at the point $(-6,0)$.

Answer:

The vertical intercept: B. There is no vertical intercept.
The horizontal intercept: $(-6,0)$