Answer:
Choice A is correct answer.
Step-by-step explanation:
We have to find a equation of line which is perpendicular to y=2x-8.
The slope of perpendicular lines are negative reciprocals of each other.
y=mx+c is standard form of equation of line where m is slope and c is y-intercept.
given equation is :
y=2x-8
Compare above equation with standard form of equation of line,we get
m=2
The slope of perpendicular lines are negative reciprocals of each other.
Hence, m=-1/2
4y=-2x+2
dividing by 4 to both sides of above equation ,we get
Choice A is:
4y/4=-2x+2/4
y=-2/4x+2/4
y=-1/2x+1/2
hence,choice A has slope equal to -1/2.
4y=-2x+2 is equatio of line perpendicular to y=2x-8.
So,choice A is the answer.
