Question

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

Answer 1

Answer:

r = 1

Step-by-step explanation:

we know that :

$Slope=\frac{y_{B}-y_{A}}{x_{B}-x_A}$

Then

$\frac{5}{4} =\frac{16-r}{-3-(-15)}$

Then

$\frac{5}{4} =\frac{16-r}{12}$

Then

5×12 = 4×(16-r)

Then

60 = 64 - 4r

Then

4r = 64 - 60

Then

4r = 4

Then

r = 1