# How do you do this problem? That contains the point (11,4) and is parallel to the line with equation y+3x=7

May 23, 2018

$y = - 3 x + 37$

#### Explanation:

We are given the equation $y + 3 x = 7$.

When reformatted into slope-intercept form, we are given:

$y = - 3 x + 7$

For two lines to be parallel, they must have the same slope, but different y-intercepts.

With this information, we know that new line must be $y = - 3 x + b$

To find b, plug in our given point as the x and y values.

$4 = - 3 \cdot 11 + b$

$4 = - 33 + b$

$37 = b$

$y = - 3 x + 37$