Question

Find the value of r so that the line passing through the points (3, 5) and (-3, r) has a slope of 3/4?

Answer 1

0.5

Explanation:

use the slope formula.

3/4 = (r-5)/(-3-3)=-(r-5)/6

cross multiply

18=-4(r-5)

18=20-4r

-2=-4r

r=0.5

Answer 2

r = 1/2

Explanation:

To find the slope, we use the formula m = (y₂ - y₁) / (x₂ - x₁). Now, to find the missing point, we just need to substitute the slope and the points back into the equation and solve it.

m = (y₂ - y₁) / (x₂ - x₁)

3/4 = 0.75

0.75 = (r - 5) / (-3 - 3)

0.75 = (r - 5) / (-6)

Multiply by -6 on both sides.

-4.5 = r - 5

r = 0.5

So, r = 1/2