Question

question 1-8
a graph is shown.
what is the slope of the linear relationship shown on the graph?
slope =

Explanation:

Step1: Recall slope formula

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

Step2: Identify the two points

From the graph, the two points are \((-5, 2)\) and \((5, 6)\). Let \((x_1, y_1)=(-5, 2)\) and \((x_2, y_2)=(5, 6)\).

Step3: Substitute into slope formula

Substitute the values into the formula: \( m=\frac{6 - 2}{5 - (-5)} \).
Simplify the numerator and denominator: \( 6 - 2 = 4 \) and \( 5 - (-5)=5 + 5 = 10 \). So \( m=\frac{4}{10} \).

Step4: Simplify the fraction

Simplify \(\frac{4}{10}\) to \(\frac{2}{5}\) (or \(0.4\)).

Answer:

\(\frac{2}{5}\)