Question

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

Step2: Apply slope formula

Use \(m = \frac{y_2 - y_1}{x_2 - x_1}\). Substitute values: \(m = \frac{3 - 4}{6 - 3}\).

Step3: Calculate numerator and denominator

Numerator: \(3 - 4 = -1\). Denominator: \(6 - 3 = 3\). So \(m = \frac{-1}{3}\).

Step4: Determine slope sign

Since \(\frac{-1}{3}\) is negative, the slope is negative.

Answer:

b) negative