Question

How do you write the equation in standard form given m = 4 and (4,3)?

Answer 1

`4x - y=13`

Explanation:

We are given a point and a slope, so we can use point-slope form:
`y - y_1 = m(x-x_1)`
We plug in the numbers we know and simplify until we get into standard form:
`y - 3 = 4(x - 4)`
`y-3 = 4x-16`
`y = 4x - 13`
`y - 4x = -13`

We need it to be Ax + By = C, where A is positive, so we rearrange and multiply by -1
`-4x + y = -13`
`4x - y = 13`

and we're done