Question

graph the following equation in a rectangular coordinate system. y = 1

Explanation:

Step1: Analyze the equation

The equation $y = 1$ represents a horizontal line. For any value of $x$, the value of $y$ is always 1.

Step2: Plot points

We can choose some arbitrary $x$-values like $x=-2,-1,0,1,2$. For each of these $x$-values, $y = 1$. So the points are $(-2,1),(-1,1),(0,1),(1,1),(2,1)$.

Step3: Draw the line

Connect the plotted points with a straight - line. This line is parallel to the $x$-axis and passes through the point $(0,1)$ on the $y$-axis.

Answer:

A horizontal line passing through the point $(0,1)$ on the $y$-axis, where for all $x\in R$, $y = 1$.