# A line passes through #(2 ,9 )# and #(5 ,2 )#. 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

Answer:

#### Explanation:

First, find the slope of the first line by using

#"slope" = m = (y_2 - y_1) / (x_2 - x_1)#

In this case, you have

#m = (2 - 9)/(5 -2)= -7/3#

Now with the slope of

#(8- ?)/(3 - ?) = -7/3#

which is the slope we have to find. We could use

But since the slope formula is

To continue, if something is parallel to another line they have the same slope.

If something is perpendicular it has the opposite reciprocal slope.