find the value of ‘r’

Question

find the value of r so the line that passes through each pair of points has the given shape (3, 5), (- 3, r), m = 3/4

Answer 1

Hello Olivia,

you would use the formula for slope: m = (y2-y1)/(x2-x1) = (r-5)/(-3-3)

You're told the slope m = 3/4

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

Multiply both sides by -6 ---> -18/4 = r-5

Add 5 to both sides ---> -18/4 + 5 = r

Convert 5 to 20/4 so the left side has the same denominator: -18/4 + 20/4 = r

2/4 = r so r = 1/2

Cheers.