Hello I really need help with one homework question

- anonymous

Hello I really need help with one homework question

- schrodinger

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- anonymous

what question is it?

- anonymous

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

- anonymous

easy

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## More answers

- anonymous

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

- anonymous

hahaha. ok first draw a cartesian plane

- anonymous

ok

- anonymous

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

- anonymous

Ok

- anonymous

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

- anonymous

Done

- anonymous

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

- anonymous

just extend the line

- anonymous

ok done

- anonymous

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

- anonymous

No

- anonymous

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

- anonymous

-2,2

- 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.

- anonymous

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

- anonymous

In my help page it says to find the slope first

- anonymous

yes you have to find the slope first

- anonymous

to find the slope you have to do rise over run

- anonymous

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

- anonymous

hold on i'm a bit slow

- anonymous

sorry about that i'm just learning it myself

- anonymous

it willl take a while. sorry

- anonymous

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

- 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= ?

- anonymous

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

- anonymous

two negatives make a positive

- anonymous

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

- anonymous

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

- anonymous

ok

- anonymous

=0.833(x-8) =

- anonymous

ok

- anonymous

ok so the answer is y=0.833x-2.336

- anonymous

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

- 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

- anonymous

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

- anonymous

you still there?

- anonymous

slope = -2/6 = -1/3

- anonymous

The answer is as you posted above?

- anonymous

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

- anonymous

Ok Thanks!

- anonymous

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

- anonymous

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

- anonymous

^o^ happy to help.

- anonymous

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

- anonymous

what are we looking for?

- anonymous

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

- anonymous

y = (2/5) x + 22

- anonymous

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

- anonymous

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

- anonymous

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

- 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?

- anonymous

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

- anonymous

Is that OK?

- anonymous

Is what ok?

- anonymous

I would like to have help with another question

- 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.

- anonymous

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

- anonymous

I would like both help with solving the problem and explaining

- anonymous

Which problem?

- anonymous

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

- anonymous

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

- anonymous

- anonymous

Sorry yes i forgot the other )

- anonymous

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

- anonymous

They extend in the same direction

- anonymous

Equidistant at all points, and never converging or diverging

- anonymous

Are you still there?

- 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?

- anonymous

Ok

- anonymous

Do you agree that makes sense?

- anonymous

Yes

- anonymous

So what is the slope of your original line?

- anonymous

5x=4y+3

- anonymous

5/4x-3/4?

- anonymous

that equals y, but what is the slope?

- anonymous

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

- 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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