Question

determine whether the graphs of the given equations are parallel, perpendicular, or neither. Explain.
y=x+11
y=-2x+3

Answer 1

@Catlover5925

Answer 2

@Data_LG2

Answer 3

how do i determine whether they ar parallel or perpendicular?

Answer 4

graph it?

Answer 5

look only at the slopes of the given equations.
If their slopes are similar, that means they are parallel.
If their slopes are negative reciprocal of each other, that means they are perpendicular.
If their slopes are neither of the above mentioned conditions, then they are neither parallel or perpendicular.

Answer 6

*nor

Answer 7

perpendicular means crossing, or intersecting right??

Answer 8

ok so the first one is y=x+11 and y=-x+2
this one is perpendicular correct?

Answer 9

yes perpendicular is like this 90° to each other

Answer 10

yes, that's right they are perpendicular because slope of the first line is 1 while the second one is -1

Answer 11

this is the first one graphed, by graphing you can tell if it is parallel or perpendicular

Answer 12

y=-2x+3
2x+y=7
this is the second problem the slopes are -2 and ?

Answer 13

this is the question posted above:
let's check whether it is right.....
y=x+11 -> slope is \(\sf m= 1\)
y=-2x+3 -> slope is \(\sf m= -2\)

therefore this is \(\sf neither\) parallel or perpendicular.
@Catlover5925 you must also consider the angle between the lines, they should be 90 degrees to each other...

Answer 14

i am so sorry i put the wrong equations next to each other

Answer 15

the one i just put is the second problem

Answer 16

@Khalimilan change the second equation to the form \(y=mx+b\) then you can easily determine what is the slope of the second line (:

Answer 17

just rearrange the equation by subtracting both sides by 2x

Answer 18

y=7-2

Answer 19

y=7-2x or y=-2x+7, which means that the slope is ...?

Answer 20

7 or 2x but isn't it 7? so would the answer be it is neither parallel or perpendicular?

Answer 21

slope always goes with the variable 'x'

Answer 22

so its 2x. so its perpendicular?

Answer 23

you forget the negative (:

Answer 24

oops :) but is the answer perpendicular since its 2x and -2x?

Answer 25

let's see..
you have:
y=-2x+3
2x+y=7 -> y=-2x+7

slope of the first equation is -2, and the second equation is -2, they look the same, so they should be?

Answer 26

parallel!

Answer 27

right!

Answer 28

you are a life saver haha thank you :)

Answer 29

no problem (:

do you understand how to do it now?

Answer 30

yes :)

Answer 31

remember the first problem you helped me with? i have two more problems that are pretty much the same and i still need help going step by step through them.

Answer 32

btw, IF they are perpendicular, one slope should be -2 while the other slope should be \(\frac{1}{2}\) not 2, because we are looking the ''negative reciprocal" in perpendicular lines.

okay, just tell me what you have so far, and i'll look through them (:

Answer 33

thanks! do you want me to open up another question?