Question

(6,-3) and (x,-29); slope=-3

Answer 1

x=44/3

Explanation:

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

substitute what we know

-3 = (-29--3)/(x-6)

simplify

-3 =(-29+3)/(x-6)

multiply each side by (x-6)

-3(x-6) = (-29+3)/(x-6) * (x-6)

the (x-6)'s on the right cancel

-3(x-6) = (-29+3)

distribute

-3x*-3*-6 = -29+3

-3x+18 = -26

subtract 18 from each side

-3x = -44

divide by -3

x = -44/-3

x=44/3