Question

The points (-15, r) and (-3, 16) lie on a line with slope 5/4. Find the missing coordinate r.

Answer 1

r = 1

Explanation:

we know that :

`Slope=(y_(B)-y_(A))/(x_(B)-x_A)`

Then

`(5)/(4) =(16-r)/(-3-(-15))`

Then

`(5)/(4) =(16-r)/(12)`

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1