SOLUTION: Determine which two equations represent perpendicular lines a. y=6x-7 b. y=1/6x+7 c. y=-1/6x+7 d. y=1/6x-7 Show all work

Question 117110: Determine which two equations represent perpendicular lines
a. y=6x-7
b. y=1/6x+7
c. y=-1/6x+7
d. y=1/6x-7
Show all work
Answer by MathLover1(20849) (Show Source): You can put this solution on YOUR website!

by definition, the lines through the points are perpendicular if their slopes are negative reciprocals.
a. ..........this line has slope
b. ...........this line has slope
c. ...........this line has slope
d. ...........this line has slope
since only is negative reciprocal of , lines and are perpendicular.

Solved by pluggable solver: Solve the System of Equations by Graphing

Start with the given system of equations:

In order to graph these equations, we need to solve for y for each equation.

So let's solve for y on the first equation

Start with the given equation

Subtract from both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets graph (note: if you need help with graphing, check out this solver)

Graph of

So let's solve for y on the second equation

Start with the given equation

Add to both sides

Rearrange the equation

Divide both sides by

Break up the fraction

Reduce

Now lets add the graph of to our first plot to get:

Graph of (red) and (green)

From the graph, we can see that the two lines intersect at the point (,) (note: you might have to adjust the window to see the intersection)

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