Determine whether the graphs of y=6x+4 and y=1/6x are perpendicular.

In this question, you're trying to see if the equations are perpendicular.

With the given equations, they are NOT perpendicular.

Why are they not perpendicular? This is because in order for two equations to be perpendicular from each one, one has to have a positive slope and the other has to have a negative slope, they pretty much have to be opposite from each other. One of them has to be the reciprocal.

Step-by-step explanation:

first we find the slopes and compare them

y = 6x + 4 ... slope here is 6

y = 1/6x ... slope here is 1/6

perpendicular lines have negative reciprocal slopes.

These equations are not perpendicular.

look at y = 6x + 4 ... slope is 6 ... a perpendicular line will have a negative reciprocal slope ... all that means is flip the slope and change the sign ... so a perpendicular line will have a slope of : 6 or 6/1 ... flip the slope ... 1/6 ... change the sign ... - 1/6 ... so a perpendicular line to y = 6x + 4 would have to have a slope of - 1/6.