Question

question 1 of 10
the slope of a line will depend on which of the two points you
choose to call (x₁, y₁) and which you choose to call (x₂, y₂)
when calculating the slope.

a. true

b. false

Explanation:

The formula for the slope \(m\) between two points \((x_1,y_1)\) and \((x_2,y_2)\) is \(m=\frac{y_2 - y_1}{x_2 - x_1}\). If we swap the points (call \((x_1,y_1)\) as \((x_2,y_2)\) and vice - versa), we get \(m=\frac{y_1 - y_2}{x_1 - x_2}=-\frac{y_2 - y_1}{-(x_2 - x_1)}=\frac{y_2 - y_1}{x_2 - x_1}\), so the slope remains the same regardless of which point is labeled \((x_1,y_1)\) or \((x_2,y_2)\).

Answer:

B. False