Question

is the line through the points R(-1,3) and S(2,-7) parallel to the graph of the line given by the equation, 10x + 3y=6

Answer 1

A) no, the slopes have opposite signs
B) yes, they have the same sign and value
C) Yes, the lines both decrease to the right
D) No, the lines have unequal slopes

Answer 2

Start by finding the slope

Answer 3

\[slope of RS=\frac{-7-3 }{2+1 }=\frac{ -10 }{3}\]

Answer 4

Well that's done now xD
Okay, so now use the point-slope formula.

Answer 5

i don't kow what that is..

Answer 6

Justina! o:
\[\huge y-y_{1}=m(x-x_{1})\]

Answer 7

I sorry Jesus!!
I'm really bad at this

Answer 8

It's alright, do you know what the equations means?

Answer 9

no not really..

Answer 10

The point-slope formula corresponds with the points:
\[\LARGE (x_{1}, y_{1})\]

Answer 11

okay

Answer 12

and m=slope, so just plug everything in:
\[\LARGE y-3=-\frac{10}{3}(x+1)\]

Answer 13

okay so how do i solve this?

Answer 14

Distribute :)

Answer 15

Did you ever learn if it was parallel or not? >.>

Answer 16

No i'm trying to figure it out right now haha

Answer 17

You know what Justina, slap me right now -.-
I made this problem harder than it needed to be ._.

Answer 18

haha i would never slap yoU!

Answer 19

but yea, we should of stopped after we found slope ._.

Answer 20

Okay so i'm confused now

Answer 21

Okay, so when finding parallel lines, all we need to do is determine whether the SLOPES are the same.
So the slope for the points was : \[\LARGE m=-\frac{10}{3}\]
After we found that we should of solved the second equation:
\[\LARGE 10x+3y=6\]
\[\LARGE 3y=-10x+6\]
\[\LARGE y=-\frac{10}{3}x+2\]
And both have the -10/3
So they are parallel .-.

Answer 22

they are parallel because the slopes have the same sign and value?

Answer 23

Yup

Answer 24

Sorry about that Justina .-.

Answer 25

Ohh okay!! it's okay Jesus! it makes sense now!

Answer 26

Alright, if you say so >.>
I'm an awful teacher D:

Answer 27

no it's okay!! no worries you still helped me out!