Question

find the slope of the line that passes through these two points.
(2, 3); (9, 7)
is the slope positive or negative?
a) positive b) negative
slope formula: \\(\frac{y_2 - y_1}{x_2 - x_1}\\)

Explanation:

Step1: Identify coordinates

Let \((x_1, y_1) = (2, 3)\) and \((x_2, y_2) = (9, 7)\).

Step2: Apply slope formula

Use \(m=\frac{y_2 - y_1}{x_2 - x_1}\). Substitute values: \(m=\frac{7 - 3}{9 - 2}=\frac{4}{7}\).

Step3: Determine slope sign

Since \(\frac{4}{7}>0\), the slope is positive.

Answer:

a) positive