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Afina-wow [57]
11 months ago
9

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

Mathematics
1 answer:
Llana [10]11 months ago
4 0

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

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