Question

(r, 4), (7, 1), m = 3/4

Find the value of r so the line that passes through each pair of points has the given slope.

Please help and show work!!!!

Answer 1

r = 11

Explanation:

The formula of a slope:

`m=(y_2-y_1)/(x_2-x_1)`

We have the slope m = 3/4 and the points (r, 4) and (7, 1). Substitute:

`(1-4)/(7-r)=(3)/(4)`

`dfrac{-3}{7-r}=(3)/(4)` cross multiply

`3(7-r)=(-3)(4)` divide both sides by 3

`7-r=-4` subtract 7 from both sides

`-r=-11` change the signs

`\boxed{r=11}`