Question

1. what is the slope of the line that passes through (3, 4) and (4, 6). use the graph to find your answer.

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 coordinates

Here, \((x_1, y_1)=(3, 4)\) and \((x_2, y_2)=(4, 6)\).

Step3: Substitute into formula

Substitute values: \( m=\frac{6 - 4}{4 - 3}=\frac{2}{1}=2 \). Also, from the graph, moving from \((3,4)\) to \((4,6)\), rise is \( 6 - 4 = 2 \), run is \( 4 - 3 = 1 \), so slope \(=\frac{\text{rise}}{\text{run}}=\frac{2}{1}=2 \).

Answer:

2