Question

Find the equation of the line.

The line is parallel to y=-1/3x+1
and passes through the point (-3,-1).

Answer 1

y=-1/3x-2

Explanation:

First off, lets outline that parallel lines have the Same Slope. So we can plug in -1/3 as our slope, or m.

Lets plug in -1/3 as our slope in Point Slope form to find the y intercept. Point slope form should be attached in an image below.

1) Plug slope and points into point slope form:

y+1=-1/3(x+3)

2) Distribute -1/3 to x and 3:

y+1=-1/3x-1

3) Subtract 1 from both sides:

y=-1/3x-2

Now we have our answer is slope intercept form!

Please let me know if you have any questions :)