Question

determine if the equation y = - 1 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 y = - 1 represents a select line.

Explanation:

Step1: Recall line - type rules

In the coordinate - plane, an equation of the form $y = k$ (where $k$ is a constant) represents a horizontal line. Here, $k=-1$.

Step2: Find the y - intercept

The y - intercept is the point where the line crosses the y - axis. For the equation $y=-1$, when $x = 0$, $y=-1$. So the y - intercept is $(0,-1)$.

Step3: Find the x - intercept

The x - intercept is the point where $y = 0$. But for the line $y=-1$, $y$ never equals 0. So there is no x - intercept.

Step4: Graph the line

Draw a horizontal line passing through the point $(0,-1)$ on the y - axis. All points on this line have a y - coordinate of - 1.

Answer:

The equation $y=-1$ represents a horizontal line. The y - intercept is $(0,-1)$ and there is no x - intercept.