Question

Find the value of r so the line that passes through each pair of points has the given slope.
(1, r), (7, 5), m = 2/3

Answer 1

Answer:

r = 1

Step-by-step explanation:

slope = change in y / change in x, so:

change in y / change in x  = 2/3

5 - r / 7 - 1 = 2/3

5 - r / 6 = 2/3

$\frac{5-r}{6}=\frac{2}{3}$

now solve this equation.

first, multiply both sides by 6 to get rid of the fraction:

$5 - r = 4$

subtract 5 from both sides

$-r=-1$

multiply both sides by -1

$r=1$