Question

Consider the line y= -1/4x+1

what is the slope of a line parallel to this line?
what is the slope of a line perpendicular to this line?​

Answer 1

Explanation:

1. We know that a line that is parallel to another line will have no solutions, so the slopes have to be the same but the y-intercept needs to be different.

2. So, we would get y=-1/4x+4 for a parallel line.

3. For a line that is perpendicular to your line, there has to be one solution so that they intersect, so the slopes have to be different.

4. So, we would get y=-1/2x+1 for a perpendicular line.

I'm pretty sure this is correct, if it is wrong just please let me know and I'll remove it. Thank you.

Answer 2

parallel: -1/4

perpendicular: 4

Explanation:

so, the equation of your line iis y=-1/4x+1

for a line parallel to this line, the slope would have to be the same. therefore, the slope is -1/4.

however, in a line perpendicular to this line, the slope would have to be the opposite reciprocal. -1/4's opposite reciprocal is 4.