What is the slope of a line parallel to 4x+y=-1?

Jul 23, 2014

I would start by putting this into slope-intercept form, which is:

y= mx+b

Where m is the slope and b is the y intercept. So, if we rearrange the equation into this form, we get:

4x+y=−1
y=-4x−1

This means that the slope is -4 and this line intercepts y at -1.

For a line to be parrallel, it must have the same slope and a different y-intercept, so any line with a different "b" would fit this description, such as:

$y = - 4 x - 3$

Here's a graph of these two lines. As you can see, they are parrallel because they'll never intersect: