# How do you write an equation in standard form given point (-5,4) and slope -3?

May 5, 2017

3x + y = -11

#### Explanation:

First you have to find the slope in order to get the standard form. To find slope, with the given information, you have to use the point-slope formula.

The point-slope formula is $y - y 1 = m \left(x - x 1\right)$

Plug in (-5,4) and -3 into the equation where 4 is y1 and -5 is x while -3 is m.

The formula would look like: $y - 4 = - 3 \left(x + 5\right)$
(in the equation, 5 is now positive because 2 negatives equal a positive)

Now, solve the formula.

The final product would be $y = - 3 x - 11$

Standard form formula: ax + by = c
To make the slope equation into standard form, first add 3x to both sides, leaving -11 alone on the right side of the equal sign.
The final equation would look like: 3x + y = -11