Question

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

Answer 1

ANSWER

A. True

EXPLANATION

Let

$(x_1,y_1) = (1,2)$



and

$(x_2,y_2) = (2,3)$


be two points on the straight line.

Then the slope is given by

$m = \frac{y_2-y_1}{x_2-x_1}$


This implies that,

$m = \frac{3 - 2}{2 - 1} = \frac{1}{1} = 1$

Let us now choose it the other way round,


$(x_1,y_1) = (2,3)$
$(x_2,y_2) = (1,2)$


Then the slope is,

$m = \frac{2 - 3}{1 - 2} = \frac{ - 1}{ - 1} = 1$

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

$(x_1,y_1)$
and which to call

$(x_2,y_2)$

Answer 2

The correct answer is true ~ Apex