Answer:
The slope of (6, 5) and (3, 7.5) is 5/-6.
As a decimal: (-0.83333333333...)
Step-by-step explanation:
Formula for slope:
[tex]m=\frac{y^2-y^1}{x^2-x^1}[/tex]
('m' means slope.)
[tex](x^1,y^1) =[/tex] coordinates of the first coordinate point
[tex](x^2,y^2)=[/tex] coordinates of the second coordinate point.
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Coordinates:
[tex](6,5)(3,7.5)[/tex]
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Now, I will simply plug the numbers into the formula.
[tex]m=\frac{7.5-5}{3-6} =\frac{2.5}{-3} =5/-6[/tex]
As a decimal: (-0.83333333333...)
The slope of the given points is 0.833
Slope, m, is given by the formula
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
From the question
[tex]x_{1} = 6[/tex]
[tex]y_{1} = 5[/tex]
[tex]x_{2}=3[/tex]
[tex]y_{2}=7.5[/tex]
Putting the above parameters into the formula
[tex]m = \frac{y_{2} -y_{1} }{x_{2} -x_{1} }[/tex]
We get
[tex]m =\frac{7.5-5}{3-6}[/tex]
∴ [tex]m= \frac{2.5}{-3}[/tex]
[tex]m = 0.833[/tex]
Hence, the slope of the given points is 0.833
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