What is the slope of the line that passes through the given points? (2,12) and (6,11)
A)-1/4
B) 1/4
C) 4
D) -4
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OpenStudy (vickyisthesmartone123):
What do you think the answer is? :)
OpenStudy (vickyisthesmartone123):
Do you know how to find the slope?
OpenStudy (mic123):
no not really
OpenStudy (vickyisthesmartone123):
Well, I can help you with that.
Just give me a second. :)
OpenStudy (mic123):
ok thanks
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OpenStudy (vickyisthesmartone123):
1. First identify the points on the line.
We are going to do this step-by-step so you don't get confused, :)
OpenStudy (conqueror):
Slope formula.
OpenStudy (mic123):
thanks so much
OpenStudy (vickyisthesmartone123):
First, identify two points on the line. Then, you could use these points to figure out the slope. In this tutorial, you'll see how to use two points on the line to find the change in 'y' and the change in 'x'. Then, you'll see how to take these values and calculate the slope. So this is basically what you do.
You will need the slope formula: Let (x1, y1) and (x2, y2) be two given points, and let (x, y) be any point on the line. Then the slope joining one of the given points and any point, is equal to the slope joining the two given points, because a line has one and only one slope. This is called the two-point formula for the equation of a straight line. :)
OpenStudy (conqueror):
(y2 - y1) / (x2 - x1)
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OpenStudy (vickyisthesmartone123):
There you go, so.
Do you know what the y2 and y1 would be? :)
OpenStudy (mic123):
isn't it to help find the slope?
OpenStudy (vickyisthesmartone123):
You have (2,12) and (6,11).
What are the y's?
OpenStudy (vickyisthesmartone123):
Yes, I am helping to find the slope :)
OpenStudy (mic123):
the y's are 2 and 6?
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OpenStudy (vickyisthesmartone123):
No, those are the X coordinates.
The y's would be 12 and 11.
OpenStudy (vickyisthesmartone123):
(x,y) <---That is the order. :)
OpenStudy (mic123):
oh ok
OpenStudy (vickyisthesmartone123):
So now, all you have to do is fill in your formula with the coordinates. :)
OpenStudy (vickyisthesmartone123):
What would your y1 be?
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OpenStudy (mic123):
12?
OpenStudy (vickyisthesmartone123):
CORRECT! :D
OpenStudy (mic123):
sweet
OpenStudy (vickyisthesmartone123):
Now, let me create an equation, and we can fill in the numbers as we go :)
OpenStudy (mic123):
ok
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OpenStudy (vickyisthesmartone123):
|dw:1457121966683:dw| This is what we got so far.
OpenStudy (vickyisthesmartone123):
Now, do you know what our Y1 would be? :)
OpenStudy (mic123):
11
OpenStudy (vickyisthesmartone123):
CORRECT AGAIN! :D
OpenStudy (vickyisthesmartone123):
|dw:1457122080250:dw| We have this so far, now...
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OpenStudy (vickyisthesmartone123):
Do you know what our X2 would be? :)
OpenStudy (mic123):
6?
OpenStudy (vickyisthesmartone123):
CORRECT! :D (AGAIN) LOL
OpenStudy (mic123):
lol
OpenStudy (vickyisthesmartone123):
|dw:1457122209387:dw| Almost done! :)
We have one more to go.
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OpenStudy (vickyisthesmartone123):
Do you know what our X1 would be? :)
OpenStudy (mic123):
2
OpenStudy (vickyisthesmartone123):
YES! :D
OpenStudy (vickyisthesmartone123):
|dw:1457122290018:dw|
OpenStudy (vickyisthesmartone123):
Now, this part is easy.
What's 12-11?
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OpenStudy (conqueror):
1337 ?
OpenStudy (mic123):
1
OpenStudy (conqueror):
correct, im just jk x'D
OpenStudy (vickyisthesmartone123):
@Conqueror No, that isn't the answer. LOL
OpenStudy (mic123):
lol I figured you were
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