Question

Find an equation of the line having the given characteristics. Express your answer using either the general form or the slope–intercept form of the equation of a line, whichever you prefer. Graph the line.

Slope undefined; containing the point$\left(-3,4\right)$.

Short answer

The required equation of line is :-

$x=-3$.

There is no slope intercept form as slope is undefined.

The graph of the line is :-

Step-by-step solution

Step 1. Given Information  

We have given the following characteristics of a line :-

Slope undefined; containing the point $\left(-3,4\right)$.

We have to fine the equation of this line.

Also we have to graph the line.

By applying point slope form, we will find the equation of line.

Step 2. To find Equation of Line  

Slope of the line is undefined.

Also we have given a point $\left(-3,4\right)$, that is contained by the line.

Given that slope of line is undefined. That is the line is parallel to y-axis.

So the value of $x$is fix here. So there is no change in value of $x$.

Also we have the line containing the point $\left(-3,4\right)$

Here value of $x$is $-3$.

It is same for all points containing by line.

So the equation of line is :-

$x=-3$.

There is no slope intercept form as slope is undefined.

Step 3. Graph the line

The equation of line is :-

$x=-3$.

By using graphing utility, we can graph it as following :-