Find the value of r

Question

(5,2),(-7,r)m=5/6 Find the value for r so that the line passing through the two points has the given slope

Answer 1

the underlying formula that you want to use here is

m = (y2 - y1) / (x2 - x1)

plugging in the values on this one that becomes

5/6 = (r - 2) / (-7 - 5)

5/6 = (r - 2) / -12

-10 = r - 2

-8 = r

Answer 2

(2-r)/(5+12) = 5/6, cross multiply

12 -6r = 25+60

-6r = 85-12 = 73

r = 73/-6 = - 73/6

r =-73/6