SOLUTION: Tell whether the line for each pair of equations are parallel,perpendicular,or neither.
y=-1/2x-11 16x-8y=-8
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Question 230566: Tell whether the line for each pair of equations are parallel,perpendicular,or neither.
y=-1/2x-11 16x-8y=-8
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
Easiest way is to convert both equations to slope-intercept form of y = mx + b where m is the slope and b is the y-intercept.
First equation is:
y = -(1/2)x - 11
It is already in slope intercept form.
Second equation is
16x - 8y = -8
subtract 16x from both sides of the equation to get:
-8y = -16x - 8
divide both sides of the eqution by -8 to get:
y = 2x + 1
If the slopes are equal they would be either identical or parallel to each other.
If the slopes are negative reciprocals of each other, they would be perpendicular to each other.
They are not identical or parallel to each other.
Take negative reciprocal of (-1/2) to get 2.
Slopes are negative reciprocals of each other so these line should be identical.
Prove by graphing.
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