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. Δy/Δx.

Answer 1

The incorrect expressions for slope are Option B (x2-x1 / y2-y1), as slope should be calculated as (y2-y1) / (x2-x1), and Option C (run/rise), which is the inverse of the correct expression for slope (rise/run or Δy/Δx). Options A and D are correct.

Step-by-step explanation:

The slope of a line is commonly described as the rise over run or the change in y (Δy) over the change in x (Δx). This can be correctly expressed as Δy/Δx or the change in the dependent variable relative to the change in the independent variable. Therefore, the incorrect expressions for slope from the options given are:

• Option B: x2-x1 / y2-y1 - This expression is incorrect because slope should be calculated as (y2-y1) / (x2-x1).
• Option C: run/rise - This expression is the inverse of the correct expression for slope, which should be rise/run or Δy/Δx.

Options A and D are correct expressions for slope.