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Mathematics 9 Online
OpenStudy (anonymous):

Hello I really need help with one homework question

OpenStudy (anonymous):

what question is it?

OpenStudy (anonymous):

Find an equation of the line containing the given pair of points (-2,-4) and (-8,-9)

OpenStudy (anonymous):

easy

OpenStudy (anonymous):

Great because I have been at it for over an hour!

OpenStudy (anonymous):

hahaha. ok first draw a cartesian plane

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

you know what that is? yes? ok then plot the two points on the plane

OpenStudy (anonymous):

Ok

OpenStudy (anonymous):

have you done that? then draw a line between the two points on the graph

OpenStudy (anonymous):

Done

OpenStudy (anonymous):

ok so now you have to draw the line so that it crosses the x and y axis

OpenStudy (anonymous):

just extend the line

OpenStudy (anonymous):

ok done

OpenStudy (anonymous):

good so now do you know what rise / run is?

OpenStudy (anonymous):

No

OpenStudy (anonymous):

ok so umm, what are the points when you extend the line to the x and y axis?

OpenStudy (anonymous):

-2,2

OpenStudy (anonymous):

good. ok so um,.. hold on let me do this in my head for a sec ok? so um,... while you wait tell me a bit about urself.

OpenStudy (anonymous):

I am a student and university of phoenix. I am not good at math at all.

OpenStudy (anonymous):

In my help page it says to find the slope first

OpenStudy (anonymous):

yes you have to find the slope first

OpenStudy (anonymous):

to find the slope you have to do rise over run

OpenStudy (anonymous):

I come up with -5/6 is that right?

OpenStudy (anonymous):

hold on i'm a bit slow

OpenStudy (anonymous):

sorry about that i'm just learning it myself

OpenStudy (anonymous):

it willl take a while. sorry

OpenStudy (anonymous):

sorry to interrupt.... the slope is 5/6

OpenStudy (anonymous):

ya i think so. sorry i'm not very good, i'm trying my best. ok um. have you heard of y2-y2/x2-x1= ?

OpenStudy (anonymous):

yea that is the same formula I used but my answer came up with a negative 5/6

OpenStudy (anonymous):

two negatives make a positive

OpenStudy (anonymous):

Ok then onto the problem then how do I work this in

OpenStudy (anonymous):

ok well you work out what 5/6 is and that's .833

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

=0.833(x-8) =

OpenStudy (anonymous):

ok

OpenStudy (anonymous):

ok so the answer is y=0.833x-2.336

OpenStudy (anonymous):

No they gave the answer as 5/6x-7/3

OpenStudy (anonymous):

use the point-slope form.. y-y1 = m (x-x1) take one given point and put in the x and y coordinates y + 4 =5/6 (x+2) isolate y: y = 5/6 (x + 2) - 4 expand and collect like terms: y = (5/6) x +5/3 - 4 y = (5/6) x - 7/3

OpenStudy (anonymous):

Ok well I already got that one wrong so now I have a new one (-1,-8) and (-7,-6)

OpenStudy (anonymous):

you still there?

OpenStudy (anonymous):

slope = -2/6 = -1/3

OpenStudy (anonymous):

The answer is as you posted above?

OpenStudy (anonymous):

? you want the equation of the line right? hang on...

OpenStudy (anonymous):

Ok Thanks!

OpenStudy (anonymous):

y = (-1/3) x - 25/3

OpenStudy (anonymous):

you are great thanks!!!!!!!!!

OpenStudy (anonymous):

^o^ happy to help.

OpenStudy (anonymous):

How about this one (-10,8);7x-5y=2

OpenStudy (anonymous):

what are we looking for?

OpenStudy (anonymous):

Write an equation of the line containing the given point and parallel to the given line. Express your answer as y-mx+b

OpenStudy (anonymous):

y = (2/5) x + 22

OpenStudy (anonymous):

Sorry I wrote that wrong it is (4,8);x-7y=5. I sent you my example question sorry.

OpenStudy (anonymous):

Sorry it is x+7y not x-7y

OpenStudy (anonymous):

y = (-1/7) x + 60/7

OpenStudy (anonymous):

I really do not understand how you solve these ones but thanks. Can you help me with a couple more or is that not ok?

OpenStudy (anonymous):

Ok, what does it mean for two lines to be parallel?

OpenStudy (anonymous):

Is that OK?

OpenStudy (anonymous):

Is what ok?

OpenStudy (anonymous):

I would like to have help with another question

OpenStudy (anonymous):

That's fine, but I was going to explain how to go about finding the answer to this one since you didn't actually learn anything from Applekiwi's response.

OpenStudy (anonymous):

If you'd like to work on another problem, that's fine too.

OpenStudy (anonymous):

I would like both help with solving the problem and explaining

OpenStudy (anonymous):

Which problem?

OpenStudy (anonymous):

(-2,7; 5x=4y+3

OpenStudy (anonymous):

You want a parallel line that intersects (-2,7)?

OpenStudy (anonymous):

Write an equation of the line containing the given point and parallel to the given line. Express your answer as y-mx+b

OpenStudy (anonymous):

Sorry yes i forgot the other )

OpenStudy (anonymous):

Ok, so what does it mean for two lines to be parallel?

OpenStudy (anonymous):

They extend in the same direction

OpenStudy (anonymous):

Equidistant at all points, and never converging or diverging

OpenStudy (anonymous):

Are you still there?

OpenStudy (anonymous):

Those are both good definitions. Let me give you a third. The reason that they are equidistant at all points is because they both have the same slope right?

OpenStudy (anonymous):

Ok

OpenStudy (anonymous):

Do you agree that makes sense?

OpenStudy (anonymous):

Yes

OpenStudy (anonymous):

So what is the slope of your original line?

OpenStudy (anonymous):

5x=4y+3

OpenStudy (anonymous):

5/4x-3/4?

OpenStudy (anonymous):

that equals y, but what is the slope?

OpenStudy (anonymous):

I don't know. How do I find the slope?

OpenStudy (anonymous):

well, the slope intercept form of a line is y=mx + b where m is the slope, and b is the intercept. is that the form you have it in?

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