# A line passes through #(8 ,2 )# and #(6 ,7 )#. A second line passes through #(3 ,4 )#. What is one other point that the second line may pass through if it is parallel to the first line?

##### 1 Answer

Any point on the line

#### Explanation:

To determine the slope,

where

The second line must also abide by this slope definition, yet we only know one point on the line. Let's call the coordinates of the second point

Let's solve this equation for y by multiplying both sides of this equation by

So our line has a slope of -5/2 and a

The problem statement asks for ANY other point on this line. This means we can pick any

So