Question

How do you find the slope and intercept to graph $y=3$ ?

Answer 1

Hint: To find the slope to graph $y=3$ , we have to compare the given equation to standard form of an equation in slope-intercept form, that is, $y=mx+b$, where m is the slope of the graph and b is the y-intercept. To find x-intercept, we have to substitute $y=0$ in the given equation.

Complete step by step solution:
We need to find the slope and intercept to graph $y=3$ . Let us first find the slope.
We know that the standard form of an equation in slope-intercept form is given as
$y=mx+b$ , where m is the slope of the graph and b is the y-intercept.
Let us compare $y=3$ to the above equation. We will get
$y=0\times x+3$
We can see that the slope, $m=0$ and y-intercept, $b=3$ .
Now, let us find the x-intercept, that is, when $y=0$ . We have the equation $y=3$ . This means that y will never be 0. Hence, there will not be x-intercept for $y=3$ .
Now, we can see the graph of $y=3$ . This will be a line passing through $\left( 0,3 \right)$ and parallel to the x-axis. The graph of $y=3$ is shown below.

Note: Students must know how to convert an equation in slope-intercept form. They must note that for an equation of the types $y=a\text{ and }y=-a$ , there will not be x-intercept. Similarly, we can see that for equations of the type $x=a$ and $x=-a$ , there will not be any y-intercept.