Question

What is the value of r (3,4), (-1,r),m=-3/4

Answer 1

To find the value of r

We will follow the steps below

Usinf the equation of a slope:

slope(m) =

$m=\frac{y_2-y_1}{x_2-x_1}$

from the question given;

m= -3/4

x₁ = 3

y₁=4

x₂=-1

y₂=r

substituting the values into the slope formula

$\frac{-3}{4}\text{ = }\frac{r-4}{-1-3}$

we can now simplify and then solve for r

$\frac{-3}{4}\text{ = }\frac{r-4}{-4}$

cross-multiply

-3 x -4 = 4(r-4)

12 = 4(r-4)

Divide both-side of the equation by 4

$\frac{12}{4}\text{ = }\frac{4(r-4)}{4}$

3 = r - 4

add 4 to both-side of the equation

3+4 = r-4+4

7 = r

r=7

Therefore the value of r is 7