Question

problem 3: find the slope of the graphed line
slope:
(6,7)
(4,1)

Explanation:

Step1: Recall slope formula

The slope \( m \) between two points \((x_1, y_1)\) and \((x_2, y_2)\) is \( m = \frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify points

Given points \((4, 1)\) and \((6, 7)\), so \( x_1 = 4 \), \( y_1 = 1 \), \( x_2 = 6 \), \( y_2 = 7 \).

Step3: Calculate slope

Substitute into the formula: \( m = \frac{7 - 1}{6 - 4} = \frac{6}{2} = 3 \).

Answer:

3