Question

A student is asked to find the slope of a line containing the points (3, 2) and (−3, 14) and finds the slope as shown. Complete the explanation. slope = rise run = −3 − 3 14 − 2 = −6 12 = − 1 2
THE STUDENT WAS SUPPOSE TO CALCULATE : the change in x over the change in y or the change in y over the change of x.
BUT CLACULATED: the change in x over the change in y or the change of y over x

Answer 1

Answer/Step-by-step explanation:

To find the slope of the line that passes through (3, 2) and (−3, 14), the formula below is used:

$slope = \frac{rise}{run}$

Thus, the slope simply means the change in y over the change in x.

Thus:

Rise represents change in y = 14 - 2 = 12

Run represents change in x = -3 - 3 = -6

Therefore,

$slope = \frac{rise}{run} = \frac{12}{-6} = -2$

Thus:

The student was supposed to calculate [the change in y over the change in y] but [calculated the change in x over the change in y].