Answer:
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
