act Math aid » Algebra » Coordinate aircraft » present » Perpendicular lines » exactly how to uncover out if lines room perpendicular

Which the the complying with lines is perpendicular to the line

*
?

 


*


*


*


*


Explanation:

Perpendicular present will have actually slopes that are an unfavorable reciprocals that one another. Our an initial step will be to find the slope of the given line by placing the equation right into slope-intercept form.

You are watching: If two lines are perpendicular, then they form

*

*

The steep of this line is

*
. The an adverse reciprocal will certainly be
*
, which will be the slope of the perpendicular line.

Now we need to find the answer selection with this slope by convert to slope-intercept form.

*

*

*

*

This equation has actually a slope of

*
, and must be our answer.


Explanation:

When identify if a two lines are perpindicular, us are just concerned about their slopes. Take into consideration the an easy equation of a line, 

*
, wherein m is the steep of the line. 2 lines space perpindicular come each various other if one slope is the an adverse and mutual of the other.

The an initial step that this difficulty is to acquire it into the form,

*
, i beg your pardon is 
*
. Now we understand that the slope, m, is 
*
. The mutual of that is 
*
, and the an unfavorable of the is 
*
. Therefore, any kind of line that has actually a slope of 
*
 will be perpindicular come the original line.


Report an Error

Example inquiry #25 : Perpendicular currently


Which that the following lines is perpendicular to the line v the given equation:

*
?


Possible Answers:
Correct answer:

*


Explanation:

First we have to recognize that the equation is given in slope-intercept form,

*
 where 
*
 is the slope of the line.

Two lines are perpendicular if and also only if the product of their slopes is 

*
. In other words, the steep of a line that is perpendicular to a provided line is the an adverse reciprocal of the slope.

Thus, because that a line with a offered slope that 3, the heat perpendicular to that slope must be the an unfavorable reciprocal of 3, or 

*
.

To twin check that that go indeed give a product of 

*
 when multiplied by three merely compute the product: 

*


Report one Error

Example question #26 : Perpendicular present


Are the adhering to two currently parallel, perpendicular, or neither:

 and 


Possible Answers:

They space neither perpendicular or parallel.


More info is needed.


They space parallel.


They space perpendicular.


They are both perpendicular and parallel.


Correct answer:

They space perpendicular.


Explanation:

Perpendicular lines have slopes whose product is 

*
.

The steep is regulated by the coefficient,

*
 from the genral kind of the slope-intercept equation: 

*

Thus the two lines room perpendicular because:

 has 

*

and

 has 

*

which as soon as multiplied together results in,

*
.


Report one Error

Example concern #27 : Perpendicular lines


Are the following two lines perpendicular:

*


Possible Answers:
Correct answer:

*


Explanation:

For two lines to be perpendicular, their slopes have to have a product of 

*
. Uncover the slopes by the coefficient in prior of the
*
.
*
 and so the two lines room perpendicular. The y-intercept does not matter for identify perpendicularity.


Report one Error

Example inquiry #28 : Perpendicular present


Are the lines explained by the equations 

*
 and 
*
 perpendicular to one another? Why or why not?


Possible Answers:

Yes, because the product of their slopes is

*
.


No, since the product of your slopes is

*
.


Yes, due to the fact that the product of your slopes is not 

*
.


No, due to the fact that the product of your slopes is not .


Correct answer:

No, due to the fact that the product of your slopes is no .


Explanation:

If the slopes of 2 lines can be calculated, an easy way to identify whether they space perpendicular is to multiply their slopes. If the product of the slopes is 

*
, climate the lines are perpendicular.

 

In this case, the steep of the line 

*
 is 
*
 and the steep of the line 
*
 is 
*
.

Since 

*
, the slopes are not perpendicular.


Report one Error

Example concern #1 : how To uncover Out If Lines are Perpendicular


Line 

*
, which adheres to the equation 
*
, intersects line 
*
 at 
*
. If line 
*
 also passes through 
*
, are 
*
 and 
*
 perpendicular?


Possible Answers:

No, since the product of your slope is not 

*
.


Yes, since the product of your slopes is not 

*
.


No, because the product of their slopes is 

*


Yes, due to the fact that the product of your slopes is .


Correct answer:

Yes, because the product of their slopes is .


Explanation:

The product of perpendicular slopes is always 

*
. Understanding this, and also seeing the the slope of line 
*
 is 
*
, us know any type of perpendicular line will have actually a slope of 
*
.

Since line 

*
 passes through 
*
 and 
*
, we deserve to use the slope equation:

*

Since the two slopes" product is 

*
, the lines room perpendicular.


Report an Error

Example question #2 : how To discover Out If Lines room Perpendicular


Are the complying with two present perpendicular:

*
 and

*


Possible Answers:
Correct answer:

*


Explanation:

For two lines to be perpendicular they have to have slopes the multiply to get 

*
. The steep is found from the 
*
 in the basic equation: 
*
.

For the an initial line, 

*
 and because that the second 
*
. 
*
 and so the lines are not perpendicular.


Report an Error

Example question #1 : how To find Out If Lines are Perpendicular


Which that the adhering to equations to represent a line that is perpendicular to the line through points

*
 and
*
?


Possible Answers:
Correct answer:

*


Explanation:

If lines space perpendicular, then their slopes will certainly be an adverse reciprocals.

First, we need to find the slope of the given line.

See more: Is The Familiar Of Zero Season 2 Dub Bed/Subbed? Is There Zero No Tsukaima Season 2 Eng Dub

*

*

*

*

 

Because we understand that our given line"s steep is

*
, the steep of the heat perpendicular to it need to be 
*
.


Report one Error
check out ACT mathematics Tutors
Omar Certified tutor
Arizona State University, Bachelors, civil Engineering.
watch ACT math Tutors
Carrie Certified tutor
Illinois State University, Bachelor of Science, mathematics Teacher Education.
check out ACT mathematics Tutors
chris Certified guardian
East Texas Baptist University, Bachelor in Arts, English. Texas AM, understand of Science, Mathematics.

All act Math sources


14 Diagnostic tests 767 exercise Tests question of the work Flashcards discover by ide
ACT mathematics Tutoring in top Cities:
Atlanta ACT mathematics Tutoring, Austin ACT mathematics Tutoring, Boston ACT math Tutoring, Chicago ACT math Tutoring, Dallas ft Worth ACT mathematics Tutoring, Denver ACT mathematics Tutoring, Houston ACT math Tutoring, Kansas City ACT mathematics Tutoring, Los Angeles ACT mathematics Tutoring, Miami ACT math Tutoring, new York City ACT math Tutoring, Philadelphia ACT math Tutoring, Phoenix ACT math Tutoring, san Diego ACT mathematics Tutoring, san Francisco-Bay Area ACT mathematics Tutoring, Seattle ACT math Tutoring, St. Louis ACT mathematics Tutoring, Tucson ACT math Tutoring, Washington DC ACT math Tutoring
ACT mathematics Tutors in height Cities:
Atlanta ACT mathematics Tutors, Austin ACT math Tutors, Boston ACT mathematics Tutors, Chicago ACT mathematics Tutors, Dallas ft Worth ACT math Tutors, Denver ACT mathematics Tutors, Houston ACT math Tutors, Kansas City ACT math Tutors, Los Angeles ACT mathematics Tutors, Miami ACT mathematics Tutors, new York City ACT math Tutors, Philadelphia ACT math Tutors, Phoenix ACT math Tutors, mountain Diego ACT math Tutors, mountain Francisco-Bay Area ACT mathematics Tutors, Seattle ACT math Tutors, St. Luigi ACT math Tutors, Tucson ACT mathematics Tutors, Washington DC ACT math Tutors
Popular process & Classes
GRE process & classes in Denver, ACT courses & class in mountain Francisco-Bay Area, ACT courses & class in Boston, Spanish courses & classes in Miami, SAT courses & great in Washington DC, SSAT courses & classes in Boston, SAT process & class in san Francisco-Bay Area, ISEE courses & class in Boston, ISEE courses & classes in Washington DC, ISEE courses & classes in mountain Francisco-Bay Area
Popular test Prep
LSAT check Prep in Boston, SSAT test Prep in Philadelphia, LSAT check Prep in Los Angeles, ISEE check Prep in san Diego, SSAT check Prep in Los Angeles, GRE test Prep in Dallas ft Worth, LSAT test Prep in Washington DC, ACT check Prep in Boston, ISEE check Prep in Dallas ft Worth, ACT test Prep in san Francisco-Bay Area
Report an issue with this inquiry

If you"ve uncovered an concern with this question, please let united state know. With the help of the neighborhood we can proceed to improve our education resources.


Do no fill in this field
* your Name:
* problem Description:
DMCA complaint

your Infringement notification may it is in forwarded to the party that made the content obtainable or to third parties such as ChillingEffects.org.

you re welcome follow these actions to paper a notice:

friend must incorporate the following:

Send your complain to ours designated agent at:

Charles Cohn Varsity Tutors llc 101 S. Hanley Rd, Suite 300 St. Louis, MO 63105