Question

A line passes through `(4 ,3 )` and `(6 ,1 )`. A second line passes through `(7 ,6 )`. What is one other point that the second line may pass through if it is parallel to the first line?

Answer 1

`=(9,4)`

Explanation:

Parallel lines have equal slopes
Slope of the line that passes through `(4,3) and (6,1)` is
`=(1-3)/(6-4)`
`=-2/2`
`=-1`
Let second line pass through the points`(7,6) and (x,y)`
If the second line is parallel its slope `=-1`
That means for every `1` rise in `x` there is `1` fall in `y`
Therefore `(x,y)=(7+2) , (6-2)=(9,4)`