Question 314821
perpendicular lines have slopes that are negative reciprocals of each other.


Recall the equation of a line, y=mx+b, where m=slope


The first line, y=2x+2, has a slope of 2.


Rearrange the second equation so that it is in y=mx+b form:

4y+3=-2x
4y=-2x-3
y=-2x/4 -3/4


So the slope of the second line is -2/4 or -1/2 in simplest terms.


The negative reciprocal of -1/2 is 2/1


slope of line 1 = 2
slope of line 2 = -1/2


The lines are perpendicular because their slopes are negative reciprocals of each other.