Another math problem, i could use a hand!

y = -1/4x +5/4

Step-by-step explanation:

The line y = 4x+6 has a slope of 4 since it is in the form y = mx +b where m is the slope

We want a line perpendicular, which would be the negative reciprocal

m perpendicular = -(1/4)

Our new slope is -1/4

We can use the point slope form of the equation

y-y1 = m(x-x1)

y-1 = -1/4 (x-1)

Distribute the -1/4

y-1 = -1/4x +1/4

Add 1 to each side

y-1+1 = -1/4x +1/4+1

Getting a common denominator for the constants

y = -1/4x +1/4 +4/4

y = -1/4x +5/4

This is in slope intercept form

b.an increase in a causes b to decrease