Question

How do you find the slope of a line parallel to the that passes through the following points (4,0) and (3.8, 2)?

Answer 1

Given any two points `(x_1,y_1)` and `(x_2,y_2)`
the slope of the line going through those points (and of any line parallel to that line) is given by
`m =(Delta y)/(Delta x) = (y_2-y_1)/(x_2-x_1)`

For the given points
`(x_1,y_1) = (4,0)`
and
`(x_2,y_2) = (3.8,2)`

this becomes
`m = (2 - 0)/(3.8 - 4)`

`= 2/(-0.2)`

`= -10`