undefined slope?

Question

How do I find the equation of a line with an undefined slope if a point on the line is (1,3)?

Please show steps!

Answer 1

Let's see.

An undefined slope means a vertical line.
This is because a vertical line has an infinite rise and zero run (x/0). But you cannot divide by zero, so that its slope is called "undefined."

This means that the equation must be x = "a number." Whenever a line is vertical, its equation is always x = "a number".

We know that it passes through (1, 3). If you draw it out, or think visually, the vertical line will always cross the same unit of the X-axis. In this case, is one.

So therefore the equation of the line is x = 1.

Hope this helps!

Answer 2

A line with an undefined slope is a vertical line (on the Cartesian plane). All points on the line are given by (1,y), for all y on the reals. So the equation is x=1.

Answer 3

There aren't any steps.

X=1