Question

A line passes through `(5 ,0 )` and `(7 ,3 )`. A second line passes through `(3 ,1 )`. What is one other point that the second line may pass through if it is parallel to the first line?

Answer 1

see below

Explanation:

First, find the gradient of lines that across `(5,0)` and `(7,3)` using formula `m=(y_2-y_1)/(x_2-x_1)`

`m=3/2`

then gradient of two lines should be same since parallel.

Then using straight line equation where is `y-y_1=m(x-x_1)` then we will get `y=3/2x-7/2`

Use any value to assign into straight line equation. In this case, I will assume `x=0` then `y=-7/2`

Conclusion the point is `(0,-7/2)`