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It doesn't matter which of the two points on a line you choose to call (x1, y1) and which you choose to call (x2, y2) to calculate the slope of the line.

A. True
B. False

Respuesta :

The correct answer is true ~ Apex 
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ANSWER

A. True

EXPLANATION

Let

[tex](x_1,y_1) = (1,2)[/tex]



and

[tex](x_2,y_2) = (2,3)[/tex]


be two points on the straight line.

Then the slope is given by

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


This implies that,

[tex]m = \frac{3 - 2}{2 - 1} = \frac{1}{1} = 1[/tex]

Let us now choose it the other way round,


[tex](x_1,y_1) = (2,3)[/tex]
[tex](x_2,y_2) = (1,2)[/tex]


Then the slope is,

[tex]m = \frac{2 - 3}{1 - 2} = \frac{ - 1}{ - 1} = 1[/tex]

We still had they same result. Hence it doesn't matter which one you choose to call

[tex](x_1,y_1)[/tex]
and which to call

[tex](x_2,y_2) [/tex]

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