Question

graph the linear equation. y = 5

Explanation:

Step1: Identify the equation type

The equation $y = 5$ is a horizontal - line equation of the form $y = c$, where $c$ is a constant.

Step2: Determine points on the line

Since $y$ is always 5, we can choose any values for $x$. For example, when $x=-5$, $y = 5$ and when $x = 0$, $y = 5$ and when $x=5$, $y = 5$.

Step3: Plot the line

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

Answer:

The graph of the equation $y = 5$ is a horizontal line passing through the point $(0,5)$ (and all points of the form $(x,5)$ where $x\in R$).