How do you write the equation of a line through points (-1,4), (-1, 7.2)?

1 Answer
Jun 25, 2018

See below for an explanation!!

Explanation:

The line is a vertical line at x=-1. To prove this, we'll find the slope. The formula for this is

(y_2-y_1)/(x_2-x_1)

where (x_1,y_1) is (-1,4) and (y_1,y_2) is (-1,7.2).Let's put in values and find the slope:

(7.2-4)/(-1-(-1))=3.2/(-1+1)=3.2/0

We can't divide by 0! What does this mean? The slope is undefined, so the line will be vertical. The two points that the line passes through are located at the x-value of -1. Therefore, the equation of the line is x=-1.

Hope this helped!