Mathematics
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OpenStudy (tanabugg):
What is the slope of the line that passes through the points of (4,2) and (4, -3)?
a. -1
b. 0
c. 1
d. undefined
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OpenStudy (3mar):
May I help?
OpenStudy (tanabugg):
Sure!
OpenStudy (3mar):
Thanks.
I hope that helps!
OpenStudy (skullpatrol):
Graph the two given pionts and draw a straight line through them.
OpenStudy (skullpatrol):
The slope a vertical line is ?
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OpenStudy (tanabugg):
Hold on give me a sec to graph them
OpenStudy (skullpatrol):
Sure.
OpenStudy (tanabugg):
Okay I'm thinking it's either a or b
OpenStudy (skullpatrol):
What does your graph look like?
OpenStudy (tanabugg):
Oh wait it'd be b!!
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OpenStudy (skullpatrol):
Why?
OpenStudy (skullpatrol):
A slope value of zero would be for a horizontal line.
OpenStudy (skullpatrol):
Is your line horizontal?
OpenStudy (tanabugg):
Vertical
OpenStudy (skullpatrol):
All vertical lines have undefined slope.
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OpenStudy (tanabugg):
oh
OpenStudy (tanabugg):
That's what it looks like
OpenStudy (skullpatrol):
Very good.
That is the correct graph.
OpenStudy (tanabugg):
Yay! Okay so all vertical lines are undefined
OpenStudy (skullpatrol):
Yes, exactly all vertical lines have undefined SLOPE.
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OpenStudy (tanabugg):
Oh okay! Could you help with a few more?
OpenStudy (skullpatrol):
Sure.
OpenStudy (tanabugg):
What is the slope of a line that passes through (-2, 5) and (1,4)?
a. -3
b. -2
c. -1/3
d 1/3
OpenStudy (tanabugg):
I already have it graphed and it's like a diagonal line
OpenStudy (skullpatrol):
Here you need to use the slope formula.
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OpenStudy (tanabugg):
Here it is
OpenStudy (skullpatrol):
From the graph we can tell that the slope is negative because it slopes downward from left to right.
OpenStudy (tanabugg):
Right. So we can rule out D
OpenStudy (skullpatrol):
Yes.
OpenStudy (skullpatrol):
$$\huge slope = \dfrac{y_2-y_1}{x_2-x_1}$$
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OpenStudy (tanabugg):
Okay so I got 3/6
OpenStudy (tanabugg):
Which simplifies to 1/2. But I think I did something wrong bc 1/2 isn't an answer
OpenStudy (skullpatrol):
Try again please.
OpenStudy (tanabugg):
I got the same answer
OpenStudy (tanabugg):
Are those numbers for the formula exponents?
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OpenStudy (skullpatrol):
No.
OpenStudy (tanabugg):
Okay that's what I thought
OpenStudy (skullpatrol):
They just label the points as 1 and 2
OpenStudy (tanabugg):
Oh well that's where I went wrong
OpenStudy (skullpatrol):
An exponent is a raised number.
These are lowered and read as "sub 1" and "sub 2."
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OpenStudy (tanabugg):
-3
OpenStudy (skullpatrol):
Try again please.
OpenStudy (skullpatrol):
Rise over run
OpenStudy (skullpatrol):
Difference between y-coordinates / difference between x-coordinates
OpenStudy (tanabugg):
For that I got -3/1
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OpenStudy (skullpatrol):
through (-2, 5) and (1,4)?
4 - 5
------
1 - (-2)
OpenStudy (skullpatrol):
through (-2, 5) and (1,4)
Point 1 = (-2, 5)
and
Point 2 = (1,4)
OpenStudy (skullpatrol):
$$\huge (x_1,y_1)$$
$$\huge(x_2,y_2)$$
OpenStudy (tanabugg):
oh! so it's -1/3
OpenStudy (skullpatrol):
You got!!!
:-)
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OpenStudy (tanabugg):
Thank you so much for being patient with me. I didn't sleep last night so I'm kind of out of it today
OpenStudy (skullpatrol):
You need to be alert to do this stuff.
OpenStudy (tanabugg):
Yes. You're right
OpenStudy (tanabugg):
Thank you !
OpenStudy (skullpatrol):
Thanks for trying to understand.