Question

graph the linear equation. y = 5 use the graphing tool to graph the linear equation. click to enlarge graph

Explanation:

Step1: Identify the form of the equation

The equation $y = 5$ is a horizontal - line equation. In the general form $y=mx + b$, where $m$ is the slope and $b$ is the y - intercept, for $y = 5$, $m = 0$ and $b = 5$.

Step2: Determine points on the line

Since the value of $y$ is always 5 regardless of the value of $x$, we can choose some $x$ - values. Let $x=- 3,0,3$. The corresponding points are $(-3,5),(0,5),(3,5)$.

Step3: Plot the points and draw the line

Plot the points $(-3,5),(0,5),(3,5)$ on the coordinate plane and draw a straight line passing through them. This line is parallel to the $x$ - axis and 5 units above it.

Answer:

A horizontal line passing through the point $(0,5)$ (and all points where $y = 5$) on the coordinate - plane.