(y-1-y-2)=m(x-1-x-2)

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Solution for (y-1-y-2)=m(x-1-x-2) equation:


Simplifying
(y + -1 + -1y + -2) = m(x + -1 + -1x + -2)

Reorder the terms:
(-1 + -2 + y + -1y) = m(x + -1 + -1x + -2)

Combine like terms: -1 + -2 = -3
(-3 + y + -1y) = m(x + -1 + -1x + -2)

Combine like terms: y + -1y = 0
(-3 + 0) = m(x + -1 + -1x + -2)
(-3) = m(x + -1 + -1x + -2)
-3 = m(x + -1 + -1x + -2)

Reorder the terms:
-3 = m(-1 + -2 + x + -1x)

Combine like terms: -1 + -2 = -3
-3 = m(-3 + x + -1x)

Combine like terms: x + -1x = 0
-3 = m(-3 + 0)
-3 = m(-3)

Reorder the terms for easier multiplication:
-3 = -3m

Solving
-3 = -3m

Solving for variable 'm'.

Move all terms containing m to the left, all other terms to the right.

Add '3m' to each side of the equation.
-3 + 3m = -3m + 3m

Combine like terms: -3m + 3m = 0
-3 + 3m = 0

Add '3' to each side of the equation.
-3 + 3 + 3m = 0 + 3

Combine like terms: -3 + 3 = 0
0 + 3m = 0 + 3
3m = 0 + 3

Combine like terms: 0 + 3 = 3
3m = 3

Divide each side by '3'.
m = 1

Simplifying
m = 1

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