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

Question

asked Jun 10, 2017 164k views

2 Answers

Homer White · Answer 1 · 2017-06-15T08:47:13+0000

Answer:

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.