Question

find the slope of the line that passes through these two points. (2, -3); (6, 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 $(x_1, y_1)=(2, -3)$ and $(x_2, y_2)=(6, 4)$

Step2: Substitute into slope formula

$\text{slope} = \frac{y_2 - y_1}{x_2 - x_1} = \frac{4 - (-3)}{6 - 2}$

Step3: Simplify numerator and denominator

$\text{slope} = \frac{4 + 3}{4} = \frac{7}{4}$

Step4: Determine slope sign

$\frac{7}{4}$ is a positive value.

Answer:

Slope: $\frac{7}{4}$
a) positive