The slope of (6,5) and (3,7.5) is -5/6
The coordinates are given as:
(6,5) and (3,7.5)
The slope of any two coordinate points is calculated using:
[tex]m = \frac{y_2 - y_1}{x_2 -x_1}[/tex]
So, we have:
[tex]m = \frac{7.5 - 5}{3-6}[/tex]
Simplify the numerator and the denominator
[tex]m = \frac{2.5}{-3}[/tex]
Multiply the fraction by 2/2
[tex]m = \frac{5}{-6}[/tex]
Rewrite as:
[tex]m =- \frac{5}{6}[/tex]
Hence, the slope is -5/6
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