Determine whether the graphs of the given equations are parallel, perpendicular, or neither y=x+11 y=-x+2 A.Parallel B.Perpendicular C.Neither

Question

asked Apr 24, 2017 161k views

2 Answers

Oliver Spencer · Answer 1 · 2017-04-26T22:14:26+0000

Answer:

Perpendicular

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

Pavel Lahoda · Answer 2 · 2017-04-30T23:56:44+0000

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