Questions: Find the slope of the line graphed below.

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

Solution

Step 1: Identify two points on the line

From the graph, we can identify two points on the line. Let's choose the points (0, 3) and (3, 0).

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 (0, 3) and (3, 0) into the slope formula: \[ m = \frac{0 - 3}{3 - 0} = \frac{-3}{3} = -1 \]

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

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