Find the slope of the line graphed below
https://lh6.googleusercontent.com/R7B4HO1K5YY0-XlyCsxmuMAaGIs72qp2NyquPaesT7v1y2PP0ZecMH3lIJmB10iux2WkNw
A. - 2/3
B. -1
C. - 3/2
D. 2
@iGreen. @Ganpat
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OpenStudy (anonymous):
I Think it A or C
OpenStudy (ganpat):
consider any two points on the line.. locate their coordinates as (x1,y1) and (x2,y2)
Slope m = (y2-y1)/(x2-x1)
OpenStudy (anonymous):
Take the two points and plug them into the slope formula.
(-5, 4) and (4, -2)
\(m = \dfrac{y_2-y_1}{x_2-x_1}\)
Where \(y_2 = -2\), \(y_1 = 4\), \(x_2 = 4\), and \(x_1 = -5\)
Plug them in:
\(m = \dfrac{-2-4}{4+5}\)
Can you simplify that? @tiffany__
OpenStudy (anonymous):
No
OpenStudy (anonymous):
Just subtract -2 - 4, then add 4 + 5.
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OpenStudy (anonymous):
Tell me what you get.
OpenStudy (anonymous):
2 10
OpenStudy (anonymous):
Huh?
Subtract -2 - 4, tell me what you get.
OpenStudy (anonymous):
-6
OpenStudy (anonymous):
Yes, now add 4 + 5
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OpenStudy (anonymous):
9
OpenStudy (anonymous):
Yep, that gives us -6/9, which simplifies to -2/3.