What is the slope of a line parallel to #4x+y=-1#?
I would start by putting this into slope-intercept form, which is:
Where m is the slope and b is the y intercept. So, if we rearrange the equation into this form, we get:
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:
Here's a graph of these two lines. As you can see, they are parrallel because they'll never intersect: