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

Mar 20, 2018

$4 x - y = 13$

#### Explanation:

We are given a point and a slope, so we can use point-slope form:
$y - {y}_{1} = m \left(x - {x}_{1}\right)$
We plug in the numbers we know and simplify until we get into standard form:
$y - 3 = 4 \left(x - 4\right)$
$y - 3 = 4 x - 16$
$y = 4 x - 13$
$y - 4 x = - 13$

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

and we're done