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The slope of the line contains the given points. C(1, –7), D(5, 13) is 5 after using the slope formula.
The ratio that y increase as x increases is the slope of a line. The slope of a line reflects how steep it is, but how much y increases as x increases. Anywhere on the line, the slope stays unchanged (the same).
[tex]\rm m =\dfrac{y_2-y_1}{x_2-x_1}[/tex]
We have given two points:
C(1, –7) and D(5, 13)
The slope can be found using the slope formula:
[tex]\rm m =\dfrac{13+7}{5-1}[/tex]
m = 20/4
m = 5
Thus, the slope of the line contains the given points. C(1, –7), D(5, 13) is 5 after using the slope formula.
Learn more about the slope here:
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