Question

which of the following is the equation of the line that passes through the point (-3,7) and is parallel to the y-axis.

Answer 1

`x=-3`

Step-by-step explanation

We want to write the equation of the line that passes through the point (-3, 7) and is parallel to the y-axis.

The general equation of a line is given as:

`y=mx+c_{}`

where m =slope

c = y intercept

A line parallel to the y-axis is a vertical line. The slope of a vertical line is undefined and so the equation of a vertical line is given as:

`x=a`

where a is the x coordinate of any point that it passes through.

Therefore, since the line passes through (-3, 7), the equation of the line is:

`x=-3`