Answer:
y = [tex]\frac{1}{2}[/tex] x + 1
Step-by-step explanation:
I'm guessing you're missing an x and the equation is: y = -2x +2, based on that:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y-intercept )
y = - 2x +2 is in this form
with slope m = - 2
The slope of a perpendicular line is the negative reciprocal of m, so
[tex]-2=\frac{-2}{1}[/tex] so the [tex]m_{perp} = \frac{1}{2}[/tex]
(0 , 1 ) is the y-intercept ⇒ c = 1
y = [tex]\frac{1}{2}[/tex] x + 1 ← equation of a perpendicular line
