Question

A line passes through `(2 ,5 )` and `(0 ,1 )`. A second line passes through `(7 ,1 )`. What is one other point that the second line may pass through if it is parallel to the first line?

Answer 1

`p(8,3)` for example

Explanation:

First, find the slope of the first line.

`m=(y_1-y_2)/(x_1-x_2)=(5-1)/(2-0)=4/2=2`

Because line 1 is parallel to line 2, they have the same slope.
Knowing that the slope of line 2 is `m=2=color(red)(2)/color(blue)(1)` as well, another point would be `p(7+color(blue)(1),1+color(red)(2))=p(8,3)`