Question

Given the equation: y−6=1/2(x+2) in point slope form, rewrite the equation into standard form. Show your work for full credit.

Answer 1

x - 2y = - 14

Explanation:

the equation of a line in standard form is

Ax + By = C ( A is a positive integer and B, C are integers )

given y - 6 =
`(1)/(2)`(x + 2)

multiply all terms by 2 to eliminate the fraction

2y - 12 = x + 2 ( subtract 2 from both sides )

2y - 14 = x ( subtract 2y from both sides )

- 14 = x - 2y, hence

x - 2y = - 14 ← in standard form