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

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 for easier multiplication:
(1y + -1y * 2) = m(x * 1 + -1x * 2)

Reorder the terms for easier multiplication:
(1y + -1 * 2y) = m(x * 1 + -1x * 2)

Multiply -1 * 2
(1y + -2y) = m(x * 1 + -1x * 2)

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

Reorder the terms for easier multiplication:
(-1y) = m(1x + -1x * 2)

Reorder the terms for easier multiplication:
(-1y) = m(1x + -1 * 2x)

Multiply -1 * 2
(-1y) = m(1x + -2x)

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

Remove parenthesis around (-1x)
(-1y) = m * -1x

Reorder the terms for easier multiplication:
(-1y) = -1m * x

Multiply m * x
(-1y) = -1mx

Solving
(-1y) = -1mx

Solving for variable 'y'.

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

Divide each side by '-1'.
y = mx

Simplifying
y = mx