# Algebra Help Please?! What is the slope of a line perpendicular to the line y=4x+1?

What is the slope of a line perpendicular to the line y=4x+1

I have the answer. This is a practice question for my test tommorow. I just dont know how to figure out the answer. How would I solve this problem? Its very confusing for me. Thank you

Update:

I know the answer is -1/4 but how do I figure that out? This type of problem is going to be on my test

Update 2:

Thanks also does anyone know 8. What is the inverse function of f(x)=4x-1? I am horrible at functions!

Relevance

Well you probably should have learned in class that two lines are perpendicular if the m's (from y = mx + b) are negative reciprocals of each other. Using that knowledge, we take the reciprocal of 4 and get 1/4 and then put a negative sign infront of it. The b (from y = mx +b) of the new equation can be anything and will still be perpendicular.

Hope that help. Good luck tomorrow.

• Slope-intercept form is y = mx + b, where m is the slope. Perpendicular lines have slopes that are opposite reciprocals of each other. Line y = 4x + 1 has a slope of 4, so a slope perpendicular to it is -1/4.

• A line perpendicular to another has the same slope, but the inverse, and negative. So in this problem, the slope would be -1/4.

• the product of the slope of a line and its perpendicular is always =-1,

so the slope of a line perpendicular to y=4x+1 is equal to --1/4

• Anonymous

y=mx+b where m is the slope. so the slope is 4/1. to graph it go to 1 on the y axis and mark it. then from there go up 4 and over one

• Anonymous