Question

4 find the slope of the line that passes through the points in the table. x | y 0 | -5 1 | -2 2 | 1 3 | 4 m =

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: Choose two points

Take \((0, - 5)\) and \((1, - 2)\). Here, \(x_1 = 0,y_1=-5,x_2 = 1,y_2=-2\).

Step3: Calculate slope

Substitute into the formula: \(m=\frac{-2-(-5)}{1 - 0}=\frac{-2 + 5}{1}=\frac{3}{1}=3\). We can check with other points (e.g., \((1,-2)\) and \((2,1)\)): \(m=\frac{1-(-2)}{2 - 1}=\frac{3}{1}=3\), which confirms the slope.

Answer:

\(3\)