Question

(-1,-3), (7,r), m=3/4​

Answer 1

Answer:

r = 3

Step-by-step explanation:

Calculate the slope using the slope formula

m = (y₂ - y₁ )/ (x₂ - x₁ )

with (x₁, y₁ ) = (- 1, - 3) and (x₂, y₂ ) = (7, r)

m = $\frac{r+3}{7+1}$ = $\frac{r+3}{8}$

Equating the 2 slopes, that is

$\frac{r+3}{8}$ = $\frac{3}{4}$ ( cross- multiply )

4(r + 3) = 24 ( divide both sides by 4 )

r + 3 = 6 ( subtract 3 from both sides )

r = 3