Question

Find the equation of the line with m = 2 and passes through the point ( 4 , − 5 ) . Write your answer in standard form A x + B y = C .

Answer 1

2x - y = 13

Explanation:

To write the equation of a line use the formula
`y - y_1 = m(x-x_1)`.

Substitute m = 2 and (4,-5).

`y --5 = 2(x-4)\\y + 5 = 2(x - 4)\\y + 5 = 2x - 8\\y = 2x -13\\-2x + y = -13\\2x - y = 13`