Question 314821
Hello, 
Let's first get these y= 2x + 2 & 4y + 3 = -2x in standard form as:
y= 2x + 2  
y= -1/2x-3/4
We know that in y=mx+b that m is the slope of the line. The perpendicular to m is -1/m
Thus it proves out that these are perpendicular to each other. 
Make sense?
RJ 
www.math-unlock.com