Answer:
y = 1/3 x +2
Step-by-step explanation:
y = -3x+7
This is in the form y= mx +b so the slope is m which is -3
We want a line the is perpendicular so the new slope is the negative reciprocal
m new = - (-1/3) = 1/3
We have the slope and a point, so we can use point slope form
y-y1 = m(x-x1)
y-1 = 1/3(x--3)
y-1 = 1/3 (x+3)
Distribute the 1/3
y-1 = 1/3 x +1
Add 1 to each side
y-1+1 = 1/3x+1+1
y = 1/3 x +2
This is in slope intercept form
