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Mathematics 20 Online
OpenStudy (anonymous):

Find an equation for the line whose graph is sketched.

OpenStudy (anonymous):

OpenStudy (mathteacher1729):

What is that x-intercept? Also, what program was used to graph that function?

OpenStudy (anonymous):

We can see that the line clearly goes through 2 points: (-1,5) and (0,1).. Now if only there were a way to find the equation of a line given two points on the line... Ah well, perhaps science will one day have the answers to questions like this. Also they might be, one day, able to come up with a name for this strange figure: \[\bigcirc\]

OpenStudy (anonymous):

?

OpenStudy (anonymous):

http://dictionary.reference.com/browse/sarcasm

OpenStudy (anonymous):

Polpak I believe that figure is known as a pie.... :P

OpenStudy (anonymous):

obviously. so why can you not help with the problem

OpenStudy (anonymous):

I can. Do you know how to find the equation of a line given two points?

OpenStudy (anonymous):

no

OpenStudy (anonymous):

Do you know the formula for the slope of a line passing through two points?

OpenStudy (anonymous):

yes and with that i got -4/1

OpenStudy (anonymous):

y=mx+b

myininaya (myininaya):

gost you slope is right gj!

myininaya (myininaya):

now what point did you start at to find your rise/run

myininaya (myininaya):

or what point did you end with doesn't matter give me either one

OpenStudy (anonymous):

its (-1,5)(0,1)

OpenStudy (anonymous):

Once you have your slope, you can use it along with one of your points in the point slope formula: \[y-k = m(x-h)\] Where m is the slope you found, and (h,k) is one of the points on the line.

myininaya (myininaya):

ok cool so use one of those points and plug into what polpak has or you can use y=mx+b you have (x=0,y=1) and m=-4/1=-4 so you can find the y-intercept (b)

OpenStudy (anonymous):

so its written as 1=-4x+___?

myininaya (myininaya):

x=0 so what does ___ equal

myininaya (myininaya):

what is -4*0?

OpenStudy (anonymous):

1 = -4(0) + b b = ?

OpenStudy (anonymous):

1

OpenStudy (anonymous):

?

myininaya (myininaya):

right! b=1 gj so we have y=-4x+1

OpenStudy (anonymous):

thanks guys

OpenStudy (anonymous):

that's the equation for the line. Nicely done. Now if only we knew what this thing is \(\bigcirc\), we'd have solved the two most pressing questions in modern science..

myininaya (myininaya):

lol

OpenStudy (anonymous):

A pie again!

myininaya (myininaya):

no its pizza not pie

OpenStudy (anonymous):

Sorry... I'm not very good with basic shapes... I'm only a primary school teacher :P

myininaya (myininaya):

lol its pizza pie!

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