Question

question 4 of 10

what is the slope formula?

a. \\(\frac{x_1 - x_2}{y_2 - y_1}\\)

b. \\(\frac{y_2 - y_1}{x_2 - x_1}\\)

c. \\(\frac{x_2 - x_1}{y_2 - y_1}\\)

d. \\(\frac{y_2 + y_1}{x_2 + x_1}\\)

Explanation:

Define the slope of a line

$$ m = \frac{\text{rise}}{\text{run}} = \frac{\Delta y}{\Delta x} $$

Express using coordinates

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

Answer:

• (A) \(\frac{x_1 - x_2}{y_2 - y_1}\)
• (B) \(\frac{y_2 - y_1}{x_2 - x_1}\) (Correct answer)
• (C) \(\frac{x_2 - x_1}{y_2 - y_1}\)
• (D) \(\frac{y_2 + y_1}{x_2 + x_1}\)