Question

find the slope of the line that passes through these two points. (3, 5); (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 $(x_1, y_1)=(3,5)$ and $(x_2, y_2)=(7,4)$

Step2: Substitute into slope formula

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 5}{7 - 3}$

Step3: Calculate numerator and denominator

$\text{slope} = \frac{-1}{4}$

Step4: Determine slope sign

$\frac{-1}{4}$ is a negative value

Answer:

$\frac{-1}{4}$
b) negative