Question

Which of the following will give you the incorrect slope?

A: y2-y1 B: y2-y1 C: y1-y2 D: Rise
--------- -------- -------- --------
x2-x1 x1-x2 x1-x2 Run

Answer 1

The answer will be C:y1-y2
Because you always do y2-y1 to get a correct slop

Answer 2

The correct option is B.

Explanation:

The slope of a line represents the change in variable y with respect to x.

`m=(Rise)/(Run)`

If a line passes through two point
`(x_1,y_1)` and
`(y_1,y_2)`, then the slope of the line is

`m=(y_2-y_1)/(x_2-x_1)`

It can be written as

`m=(-(-y_2+y_1))/(-(-x_2+x_1))`

Cancel the negative sign.

`m=(y_1-y_2)/(x_1-x_2)`

Since
`m=(Rise)/(Run)=(y_2-y_1)/(x_2-x_1)=(y_1-y_2))/(x_1-x_2)`, therefore these formulas give you the correct slope.

`m\\eq (y_2-y_1)/(x_1-x_2)`

This formula will give you the incorrect slope.

Therefore the correct option is B.