Question

A line has the equation y = 1/2x + 3. Convert this equation to standard form and write another equation that will have the same graph.​

Answer 1

Equation of a line in standard form is Ax + By = C

A is a pos. integer and B + C are integers

1) multiply all terms in the equation by 2

2y = x - 6

2) subtract 2y from both sides

2y - 2y (cancelled out) = x - 2y - 6

x - 2y - 6 = 0

3) add 6 to both sides

x-2y = 0 +6 (-6 and +6 cancel out)

therefore,

x - 2y = 6

is the equation in standard form