Question

Need help please!!

Answer 1

wait i need to post the pic

Answer 2

@az

Answer 3

what grade r u in

Answer 4

10th grade geometry

Answer 5

oh i cant help sry im in 9th grade

Answer 6

lol thanks for looking

Answer 7

np

Answer 8

So what do you know about the slopes of two perpendicular lines?

Answer 9

im going to be honest, this entire question confuses me

Answer 10

it's a whole lot of letters and numbers

but let's ignore all that

do you know that parallel lines have the same slope?

Answer 11

yep i understand

Answer 12

so that symbol in your question \(\perp\)

that stands for perpendicular

it's saying is the line from point A to B
going to be perpendicular to
the line from point C to D

Answer 13

does that make sense?

Answer 14

that makes sense

Answer 15

Good! Before I give you the main key takeaway that will tell us the answer and eliminate all other answer choices

I just want to make sure-

do you know how to calculate the slope between two points?

Answer 16

if my memory works i should be able to

Answer 17

okay, no worries- here is the formula by the way

I'll throw in colors for you

\(\Large\text{Slope} = \dfrac{\color{green}{y_2} - \color{orange}{y_1}}{\color{blue}{x_2}-\color{red}{x_1}}\)

where you have two points
\(\Large (\color{red}{x_1}, \color{orange}{y_1})\) and \(\Large (\color{blue}{x_2}, \color{green}{y_2})\)

Answer 18

So now, remember that parallel lines have the same slope?

Perpendicular lines on the other hand
the slopes of perpendicular lines are opposite reciprocals

that means
if one of them had a slope of 3/4
the other would be OPPOSITE so -3/4 and then RECIPROCAL so -4/3

what that means is
when you multiply the slope of two perpendicular lines, you would get -1

just take a look at the example I gave you:
what is 3/4 * -4/3 =

Answer 19

@snub

Answer 20

i think i actully got it right, i turned in the assignment and got an 90%

Answer 21

That's good to hear!! What answer choice did you choose?

Answer 22

I can check your answer for you :)

Answer 23

@AZ I picked A

Answer 24

A was wrong. It was actually C

which was what I was trying to tell you.

When you multiply the slopes of two perpendicular lines, you'll get -1

since the slopes of two perpendicular lines are opposite reciprocals

so if the slope of one is a/b then the slope of a line perpendicular to it is -b/a

and
a/b * (-b/a) = -1

Answer 25

oh that makes more sense, I really appreciate the Help even if i chose wrong

Answer 26

Hopefully you learned something and you won't get the next question wrong :)