home work problem

Question

Line is passinh through points(6,-2) (r,-6) and has the slope of 4, and find the value of r,

Answer 1

Line is passing through points(6,-2) (r,-6) and has the slope of 4

m =y2-y1/x2-x1

(6,-2) = (x1,y1)

(r,-6) = (x2,y2)

 4 = -6-(-2)/r-(6)

4 = -6+2/r-6

4 = -4/r-6

Apply multiplication property, multiple r-6 to each side.

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

4/r-6 = -4

Apply division property, divide by -4 to each side.

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

-1/r-6 = 1

r-6 = -1

Apply addition property, add 6 to each side.

r-6+6 = -1+6

⇒r = 5