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Which of the following will give you the incorrect slope?

A: y2-y1 B: y2-y1 C: y1-y2 D: Rise

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x2-x1 x1-x2 x1-x2 Run

Verified Answer :

queenlaychitthu

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

Answer:

The correct option is B.

Step-by-step explanation:

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

\(m=\frac{Rise}{Run}\)

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

\(m=\frac{y_2-y_1}{x_2-x_1}\)

It can be written as

\(m=\frac{-(-y_2+y_1)}{-(-x_2+x_1)}\)

Cancel the negative sign.

\(m=\frac{y_1-y_2}{x_1-x_2}\)

Since \(m=\frac{Rise}{Run}=\frac{y_2-y_1}{x_2-x_1}=\frac{y_1-y_2)}{x_1-x_2}\), therefore these formulas give you the correct slope.

\(m eq \frac{y_2-y_1}{x_1-x_2}\)

This formula will give you the incorrect slope.

Therefore the correct option is B.

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