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/Step-by-step explanation:

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

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,

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].

step-by-step explanation:

points a and b are equidistant from the desired line, so the line you find by using them will go through point r.

using points other than a and b will give the desired line only if they are equidistant from r. if they are randomly located, the perpendicular line you create will not necessarily go through point r, hence will not be a solution to the problem.