Question

Which of the following are incorrect expressions for slope? Check all that apply.. . A. Change in the dependent variable relative to change in the independent variable. B. x2-x1/y2-y1. C. run/rise. D. delta y/delta x. .

Answer 1

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

Answer 2

Answer:

(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