Question

Find the equation of the line that contains the point (2,-1) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.

Answer 1

`y=mx-(1+2m)`

Step-by-step explanation:

A general equation in the slope-intercept form looks like this:

`y=mx+b`

Where "m" is the slope and "b" is the y-intercept.

In this exercise, the slope is undefined, so let's call it "m".

Also, to find b, we can substitute the point (2, -1) in the equation:

`\begin{gathered} y=mx+b \\ -1=2m+b \\ -1-2m=b \\ b=-1-2m \\ b=-(1+2m) \end{gathered}`

Substituting in the equation, we have:

`y=mx-(1+2m)`