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Verified Answer :

calculista

Keywords

parallel, perpendicular, graphing, linear equation, slope, lines

we know that

If two lines are perpendicular, then the product of their slope is equal to minus one

so

\(m1*m2=-1\)

If two lines are parallel, then their slope are equal

\(m1=m2\)

In this problem we have

\(y=x+11\) --------> linear equation A

the slope is \(m1=1\)

\(y=-x+2\)  --------> linear equation B

the slope is \(m2=-1\)

Find the product

\(m1*m2=-1\) ---------> the lines are perpendicular

therefore

the answer is the option B

Perpendicular

using a graphing tool

see the attached figure

View image calculista

Answer:

Perpendicular

Step-by-step explanation:

Given are two equations as

\(y=x+11\\y=-x+2\)

We have to find whether these two are parallel or perpendicular or neither

For this first we have to find the slope of these two lines

I line slope = 1

II line slope =-1

Since slopes are not equal, the lines are not parallel.

Let us check product of these slopes.  IF product =-1 the lines are perpendicular

We find that product = \(1*-1=-1\)

Hence two lines are perpendicular

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