Question

determine if the equation x = - 3 represents a horizontal line or a vertical line. then graph the line and identify the x - and y - intercepts. part: 0 / 4 part 1 of 4 the equation x = - 3 represents a horizontal line.

Explanation:

Step1: Recall line - type rules

In the coordinate - plane, an equation of the form $x = a$ (where $a$ is a constant) represents a vertical line. Here $a=-3$.

Step2: Find the x - intercept

The x - intercept is the point where the line crosses the x - axis. For the line $x=-3$, when $y = 0$, $x=-3$. So the x - intercept is $(-3,0)$.

Step3: Analyze the y - intercept

A vertical line $x=-3$ never crosses the y - axis (since all points on the line have $x=-3$ and the y - axis has $x = 0$). So there is no y - intercept.

Step4: Graph the line

On the coordinate - plane, draw a straight line passing through all points with $x=-3$. The line is parallel to the y - axis and 3 units to the left of it.

Answer:

The equation $x=-3$ represents a vertical line. The x - intercept is $(-3,0)$ and there is no y - intercept.