Question

find the slope of the line that passes through these two points. (2, 6); (7, 4) is the slope positive or negative? a) positive b) negative slope formula: \\(\frac{y_2 - y_1}{x_2 - x_1}\\)

Explanation:

Step1: Assign coordinates to variables

Let $(x_1, y_1)=(2,6)$ and $(x_2, y_2)=(7,4)$

Step2: Substitute into slope formula

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 6}{7 - 2}$

Step3: Calculate numerator and denominator

$\text{slope} = \frac{-2}{5}$

Step4: Determine slope sign

$\frac{-2}{5}$ is a negative value.

Answer:

Slope: $\boldsymbol{\frac{-2}{5}}$
Slope sign: b) negative