Respuesta :

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

[tex]m1*m2=-1[/tex]

If two lines are parallel, then their slope are equal

[tex]m1=m2[/tex]

In this problem we have

[tex]y=x+11[/tex] --------> linear equation A

the slope is [tex]m1=1[/tex]

[tex]y=-x+2[/tex]  --------> linear equation B

the slope is [tex]m2=-1[/tex]

Find the product

[tex]m1*m2=-1[/tex] ---------> the lines are perpendicular

therefore

the answer is the option B

Perpendicular

using a graphing tool

see the attached figure

Ver imagen calculista

Answer:

Perpendicular

Step-by-step explanation:

Given are two equations as

[tex]y=x+11\\y=-x+2[/tex]

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 = [tex]1*-1=-1[/tex]

Hence two lines are perpendicular

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