# A line passes through #(6 ,2 )# and #(5 ,7 )#. A second line passes through #(3 ,8 )#. What is one other point that the second line may pass through if it is parallel to the first line?

##### 1 Answer

Mar 13, 2018

#### Answer:

The point

(but there is literally an infinite number of possible points)

#### Explanation:

The lines are parallel so they will have the same gradient (slope). First we find the gradient of the first line:

To find the y-intercept we can write the equation of the line in gradient-intercept form:

We rearrange this equation and plug in the

The equation of the second line, then, is

Let's use