If the slope of line joining the points (2, 3) and (4, -5) is equal to the slope of line joining the points (x, 5) and (5, 6). Find the value of x.

Asked by Topperlearning User | 26th Sep, 2014, 09:43: AM

Expert Answer:

Slope of line joining points A (2, 3) and B (4, -5) =

Slope of line joining points P (x, 5) and Q (5, 6) =
Since Slope of line joining points A (2, 3) and B (4, -5) = Slope of line joining points A (2, 3) and B (4, -5)

minus 4 equals fraction numerator 1 over denominator 5 minus x end fraction

rightwards double arrow minus 20 plus 4 x equals 1

rightwards double arrow 4 x equals 21

rightwards double arrow x equals 21 over 4

Answered by  | 26th Sep, 2014, 11:43: AM