(-1,-3), (7,r) m=3/4 How do you find r?

Question

How do you find the value of r so the line that passes through each pair of points has the given slope.

Answer 1

Write the equation for slope, which will have r in it, substitute given values, and solve for r.

 

m = (y₂ - y₁) / (x₂ - x₁)

 

3/4 = [r - (-3)] / [7 - (-1)]

 

3/4 = (r + 3)/8

 

Now solve for r.  You should be able to finish from here.

Answer 2

(-3 - r) = (3/4)(-1 - 7)     point-slope form

 

Can you solve for r?