Question

Write the point-slope form of the line that passes through (1, -5) and is perpendicular to a line with a slope of 1.

Answer 1

is there a graph?

Answer 2

No, they just gave me that equation and they want me to write out how I worked it. I'm totally stuck

Answer 3

oh hmmm wait ill try not sure if ican do its maybe @jabez177 @pooja195 or @Austin.L

Answer 4

Ok, thanks!

Answer 5

Point slope form
Do you remember the form?

Answer 6

y - y1 = m(x - x1)

Answer 7

i would say (-1, 5) jab should know if im right

Answer 8

Ohhhh!! This form?
Eeks... This is my least favorite one...
Practice makes perfect. :)

Answer 9

XD

Answer 10

Ugh, I hate it so much! >_< My teacher isn't really that big of a help either. I'm like, "Dude, I'm going for broadcast journalism. I don't need this stupid point slope form crap"

Answer 11

Alright so first off.
We have to plug in the numbers

Answer 12

\(\color{#0cbb34}{\text{Originally Posted by}}\) @tparker22
y - y1 = m(x - x1)
\(\color{#0cbb34}{\text{End of Quote}}\)
You have this info down just plug in your given numbers

Answer 13

m=slope

Answer 14

y – y1 = m(x – x1) So we just put in 5 where the Y1 is and the -1 where the x1 is

Answer 15

You get the picture?

Answer 16

Ok, so would that be y - y6 = m(x - x-1)

Answer 17

Take out the y you are replacing it same with x

Answer 18

m is the slope
What is the slope in the question?

Answer 19

The question says -3

Answer 20

\(\color{#0cbb34}{\text{Originally Posted by}}\) @tparker22
Write the point-slope form of the line that passes through (1, -5) and is perpendicular to a line with a slope of 1.
\(\color{#0cbb34}{\text{End of Quote}}\)
It says "slope of 1"
m=slope

Answer 21

Oops, I'm sorry! I was looking at the wrong question. I clicked on the wrong one, okay I'm back to the one we're all currently on

Answer 22

So it would really be y - y5 = m(x - x1) ?

Answer 23

I mean, I can plug in the info, but I can't work it. That's my issue
If one of y'all could explain in detail step by step, that'd be perfect and maybe I could take it from there with the rest of my problems

Answer 24

pooja you stole my qustion! oh well i need to go bye

Answer 25

Basically we have a point slope formula
\[\huge y-y_1=m(x-x_1)\]
where
m=slope
(x1,y1)
In this particular problem you are given that:
x=1
y=-5
slope which is m=1

You take this information and you plug it in place of the variables present in the formula

Answer 26

Okay, I get that so far

Answer 27

Can you tell me, what equation we would have once we plug in our numbers? Keeping in mind that when two minus signs are next to each other it becomes a +

Answer 28

We would have ----- y - y5 = 1(x-x1) ?

Answer 29

or would every y be 5 and every x be 1?

Answer 30

You are correct thus with a minor mistake
y +5 = 1(x-x1)

Answer 31

Continue with plugging in your x value

Answer 32

Ok so since we have this - y + 5 = 1(x-x1) - then we would continue with plugging in the x value you said. My current x value is 1, so would be be y + 5 = 1(1-x1)? see, this is where I get confused, I'm sorry :/

Answer 33

You need to plug your x value in the x1 spot

Answer 34

That would be 1 * 1 then, which is 1?

Answer 35

No x1 is part of the coordinate
(1,-5)
x1=1

Answer 36

Ok

Answer 37

plug it in

Answer 38

Okay, so I plugged these numbers in and did a bit more. Would this be it?

Answer 39

(y-y1)=m(x-x1)
(y--5)=1(x-1)
y=1x-1+-5
y=1x-6
1x-y-6=0

Answer 40

(y--5)=1(x-1) Correct but
\[\huge~\rm~\bf~ y+5=1(x-1)\]
\[\huge~\rm~\bf~ y+5=1x-1\]
\[\huge~\rm~\bf~ y=1x-6\]
\[Perpendicular~slope=Flipped~sign+Reciprocal~(flipped fraction) \]

Answer 41

Ok! :)

Answer 42

Whats the opposite of 1?

Answer 43

-1

Answer 44

So parallel is positive, perpendicular is opposite?

Answer 45

-negative I meant

Answer 46

Not really I suggest you use this site to help you differentiate between the 2

https://www.mathsisfun.com/algebra/line-parallel-perpendicular.html

Answer 47

Or is it the other way around?

Answer 48

Okay, I'll look into it! Thank you!

Answer 49

Parallel--->slopes stay the same
Perpendicular---->Flip the fraction and if there isn't one make one by adding a 1 to the bottom, and flip the sign (positive # goes to negative; negative # goes to positive)

Answer 50

okay! thank you :)

Answer 51

You're welcome.