x-b=m(y-a)

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Solution for x-b=m(y-a) equation:


Simplifying
x + -1b = m(y + -1a)

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

Reorder the terms:
-1b + x = m(-1a + y)
-1b + x = (-1a * m + y * m)
-1b + x = (-1am + my)

Solving
-1b + x = -1am + my

Solving for variable 'b'.

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

Add '-1x' to each side of the equation.
-1b + x + -1x = -1am + my + -1x

Combine like terms: x + -1x = 0
-1b + 0 = -1am + my + -1x
-1b = -1am + my + -1x

Divide each side by '-1'.
b = am + -1my + x

Simplifying
b = am + -1my + x

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