Question

What is the equation of the line that passes through the points
(-3, 6) and (-3, 8)?

Answer 1

`x=-3`

Explanation:

Hi there!

Linear equations are typically organized in slope-intercept form:
`y=mx+b` where m is the slope and b is the y-intercept (the value of y when x is 0).

Typically, we would start with finding the slope of the line. However, notice how the two x-coordinates in the given points are both -3. This means that this is a vertical line, with an undefined slope.

Vertical lines have their equations organized differently:
`x=d` where d is the x-intercept, or the value of x when y is 0.

Because the x-coordinates in all the points a vertical lines passes through are the same, the x-intercept would therefore be -3. Plug this into the equation
`x=d`:

`x=-3`

I hope this helps!