Question

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

Answer 1

`y = -3x + 37`

Explanation:

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

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

`y = -3x + 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 = -3x + b`

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

`4 = -3 * 11 + b`

`4 = -33 + b`

`37 = b`

`y = -3x + 37`