Questions: Find the slope of the line graphed below.

Find the slope of the line graphed below.
Transcript text: Find the slope of the line graphed below.
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Solution

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Solution Steps

Step 1: Identify Two Points on the Line

From the graph, identify two points that the line passes through. Let's choose the points (-3, -2) and (2, 3).

Step 2: Use the Slope Formula

The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by: \[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Step 3: Substitute the Coordinates into the Formula

Substitute the coordinates of the points (-3, -2) and (2, 3) into the slope formula: \[ m = \frac{3 - (-2)}{2 - (-3)} = \frac{3 + 2}{2 + 3} = \frac{5}{5} = 1 \]

Final Answer

The slope of the line is \( 1 \).

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