Calculate the Slope: Linear Function Through Points (-3,2) and (3,2)

Question

In the drawing of the graph of the linear function passing through the points $A(-3,2)$ y $B(3,2)$

Find the slope of the graph.

Video Solution

Step-by-Step Solution

To determine the slope of the line passing through points $A(-3, 2)$ and $B(3, 2)$ , we will use the slope formula:

The slope $m$ is calculated as:

m = \frac{y_2 - y_1}{x_2 - x_1}

Substituting the values from points $A(-3, 2)$ and $B(3, 2)$ , we get:

m = \frac{2 - 2}{3 - (-3)} = \frac{0}{6} = 0

The calculation shows that the difference in $y$ -coordinates is zero, hence dividing by any non-zero number will result in a slope of zero. This indicates a horizontal line on the graph.

Therefore, the slope of the line is $0$ .

Answer

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