# A line passes through #(6 ,2 )# and #(2 ,1 )#. A second line passes through #(3 ,2 )#. What is one other point that the second line may pass through if it is parallel to the first line?

##### 1 Answer

#### Explanation:

First, find the gradient of the first line from the two points given.

gradient

gradient

gradient

gradient

This is the first line: (

graph{y = x/4 + 1/2 [-10, 10, -5, 5]}

The second line is parallel, meaning it has the same gradient, which is

Substitute the point

Therefore the equation for the second line is

graph{y = x/4 + 5/4 [-10, 10, -5, 5]}

Now, just choose any random x-value and find the corresponding y-value to get a point on that line.