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: Define the points

Let $(x_1, y_1)=(3, 5)$ and $(x_2, y_2)=(7, 4)$

Step2: Apply slope formula

Substitute values into $\frac{y_2 - y_1}{x_2 - x_1}$:
$\frac{4 - 5}{7 - 3} = \frac{-1}{4}$

Step3: Determine slope sign

The value $\frac{-1}{4}$ is less than 0.

Answer:

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