Question

question 6 of 9 (1 point) | question attempt: 1 of 2 the equation x = - 3 represents a vertical line. part 2 of 4 the line has no y - intercept and has an x - intercept. part 3 of 4 the x - intercept is (-3,0). part: 3 / 4 part 4 of 4 graph the line.

Explanation:

Step1: Recall line - type rules

The equation of a vertical line is of the form $x = k$, where $k$ is a constant. Here $x=-3$, so it's a vertical line.

Step2: Recall intercept - definition

For a vertical line $x = k$ ($k
eq0$), it never crosses the $y$ - axis, so it has no $y$ - intercept. It crosses the $x$ - axis at the point $(k,0)$. For $x=-3$, the $x$ - intercept is $(-3,0)$.

Step3: Graphing a vertical line

To graph $x = - 3$, draw a straight line parallel to the $y$ - axis passing through the point $(-3,0)$ on the $x$ - axis.

Answer:

1. The equation $x=-3$ represents a vertical line.
2. The line has no $y$ - intercept and has an $x$ - intercept.
3. The $x$ - intercept is $(-3,0)$.
4. To graph the line, draw a vertical line passing through the point $(-3,0)$ on the $x$ - axis.