Question

find the slope of the line that passes through these two points. (-2, 3); (4, 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 $(x_1, y_1) = (-2, 3)$ and $(x_2, y_2) = (4, 4)$

Step2: Substitute into slope formula

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 3}{4 - (-2)}$

Step3: Simplify the expression

$\text{slope} = \frac{1}{6}$

Step4: Determine slope sign

$\frac{1}{6}$ is greater than 0, so it is positive.

Answer:

The slope is $\frac{1}{6}$, and it is a) positive