Mathematics
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OpenStudy (koolkid98):
What is the slope of the line passing through the points (1, –5) and (4, 1)?
A. 2
B.-5/4
C.5/4
D.-2
i think C
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OpenStudy (koolkid98):
ill meadal
OpenStudy (studytheworld):
The slope formula = \[y2-y1/x2-x1\] In order to find the slope of these points, we must use this formula.
OpenStudy (koolkid98):
k
OpenStudy (studytheworld):
So your y1 and y2 are the y values. What are your y values?
OpenStudy (koolkid98):
4 and 1
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OpenStudy (studytheworld):
Close, your y values are -5 and 1.
Your x values are 1 and 4. See:
(x, y)
(1, -5)
(4, 1)
OpenStudy (koolkid98):
oh
OpenStudy (studytheworld):
Your y2 value is the second y value. So if your y values are -5 and 1 which one is the second y value?
OpenStudy (koolkid98):
4 and 1?
OpenStudy (studytheworld):
No, your only y values are -5 and 1. So these are your only options. Which one is the second one? It's 1.
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OpenStudy (koolkid98):
ok
OpenStudy (studytheworld):
So if our formula is y2−y1/x2−x1
We plug in our values:
1-(-5)/4-1
OpenStudy (studytheworld):
What is 1-(-5) and 4-1?
OpenStudy (koolkid98):
\[1-(-5)=1+5\]
OpenStudy (studytheworld):
Good. So 6 is the y and then the x is 4-1 which is 3. So we have 6/3.
What is 6 divided by 3?
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OpenStudy (koolkid98):
2
OpenStudy (studytheworld):
That's your answer.
OpenStudy (koolkid98):
\[6\div3=2\]
OpenStudy (koolkid98):
thx
OpenStudy (studytheworld):
That is your final slope, yes. No problem.