Mathematics, 22.06.2019 10:00 Jasten

Which of the following are incorrect expressions for slope?

Answers: 2

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Answer from: heyheyheyhey3

Option B and C are correct.

$\frac{x_2-x_1}{y_2-y_1}$

$\frac{run}{rise}$ are the expression incorrect for slope

Step-by-step explanation:

Slope is defined as the change in the dependent variable relative to the change in the dependent variable

or the ratio of the horizontal changes to vertical changes between any two points on the graph of the line.

The vertical changes between any two points is rise

The horizontal changes between any two points is run.

Formula for slope is given by:

For any two points (x_1, y_1) and (x_2, y_2)

then slope is:

$\text{Slope} =\frac{rise}{run}= \frac{y_2-y_1}{x_2-x_1}$

or we can write this as:

Δy = y_2-y_1

Δx = x_2-x_1

⇒ $\text{Slope} = \frac{\triangle y}{\triangle x}$

Therefore, the expression which are incorrect for slope are;

$\frac{x_2-x_1}{y_2-y_1}$

$\frac{run}{rise}$

Answer from: rebelprincezz5785

Choice B and choice C are incorrect expression for slope.

Step-by-step explanation:

Slope is defined as the steepness of a line. It is also called gradient.It is denoted by m.

It is ratio of change in the dependent variable and independent variable.

hence, m = Δy / Δx = y₂-y₁ / x₂-x₁

The change in dependent variable is called rise and the change in dependent variable is called run.

So, m = rise / run

hence, choice B. and choice C. are incorrect expressions for slope.

Answer from: Moeja

(B) and (C)

Step-by-step explanation:

The slope or gradient of a line is a number that describes both the direction and the steepness of the line. Slope can be calculated by finding the ratio of the "vertical change" to the "horizontal change" between two different points on a line.

Thus, from the definition of the slope, we have

(A) Slope=Change in the dependent variable relative to change in the independent variable.

which is correct expression for the slope.

(B) $S=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

which is the formula for the slope.

Now, the given option is $S=\frac{x_{2}-x_{1}}{y_{2}-y_{1}}$

which is incorrect.

(C) The slope of is given as rise over run that is $\frac{rise}{run}$ but the given option is $\frac{run}{rise}$ which is incorrect.

(D) The slope formula is given as:

$S=\frac{{\delta}y}{{\delta}x}$

which is the correct expression.

Therefore, the options are (B) and (C) which are incorrect expressions for slope

Answer from: xoohaleey

A. B. and C. are incorrect expressions for the slope.

m (slope) = rise/run = y2-y1/x2-x1 = change in the independent variable relative to the change in dependent variable

y is the independent variable and x is the dependent variable