Question

find the slope of the line that passes through these two points.
(-1, 2); (2, 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 point coordinates

Let $(x_1, y_1) = (-1, 2)$ and $(x_2, y_2) = (2, 4)$

Step2: Substitute into slope formula

$$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - 2}{2 - (-1)}$$

Step3: Simplify numerator and denominator

$$\text{slope} = \frac{2}{3}$$

Step4: Determine slope sign

$\frac{2}{3}$ is greater than 0, so it is positive.

Answer:

Slope: $\frac{2}{3}$
a) positive