y - 5 = m(x-2) ; Solve for x.

Mathematics · High School · Mon Jan 18 2021

Answered on

Given the equation:

y - 5 = m(x - 2)

Solve for x.

Solution:

In order to solve for x, we first distribute m to each value inside the parenthesis first, then solve for x.

y - 5 = mx - 2m

Transpose -2m to the other side of the equation, hence it must be taken to note that in transposing a number, the sign changes.

y -5 + 2m = mx

Divide both side by m in order to determine the value of x.

mx/m = (y - 5 + 2m)/m

x = y/m - 5/m + 2

Final answer:

x = y/m - 5/m + 2