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A student finds the slope of the line between (8, 17) and (1, 4). She write 17-4/1-8. What mistake did she make?
A) She mixed up the x- and y-values.
B) She should have added the values, not subtracted them.
C) She used y-values where she should have used x-values.
D) She did not keep the order of the points the same in the numerator and the denominator.

Respuesta :

luisejr77

Answer: OPTION D.

Step-by-step explanation:

The formula that is used to calculate the slope of a line is:

[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Where [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] are two points on the line.

In this case the student finds the slope of the line that passes trough these points:

[tex](8, 17)\\(1, 4)[/tex]

You can notice that she writes in the numerator that:

[tex]y_2=17\\y_1=4[/tex]

So she chose the point [tex](1, 4)[/tex] as [tex](x_1,y_1)[/tex]  and the point [tex](8, 17)[/tex] as [tex](x_2,y_2)[/tex].

Then [tex]x_2[/tex] and [tex]x_1[/tex] in the denominator must be:

[tex]x_2=8\\x_1=1[/tex]

Therefore, she did not keep the order of the points the same in the numerator and the denominator.

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