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

User Dakusan
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1 Answer

3 votes

To find the value of r

We will follow the steps below

Usinf the equation of a slope:

slope(m) =


m=(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


(-3)/(4)\text{ = }(r-4)/(-1-3)

we can now simplify and then solve for r


(-3)/(4)\text{ = }(r-4)/(-4)

cross-multiply

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

12 = 4(r-4)

Divide both-side of the equation by 4


(12)/(4)\text{ = }(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

User Commander
by
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