equations in standard form

Question

standard form of, y+7=2(x+5).

Answer 1

The standard form line equation is Ax + By = C. A shouldn't be negative, A and B shouldn't both be zero, and A, B and C should be integers.

The equation is y + 7 = 2(x + 5).

Apply distributive property : a(b + c) = ab + ac.
y + 7 = 2x + 10

2x + 10 = y + 7

Subtract y from each side.

2x + 10 - y = 7

Subtract 10 from each side.

2x - y = 7 - 10

2x - y = - 3.

The standard form the equation of the line is 2x - y = - 3.