Questions: Determine the slope of the line.

Determine the slope of the line.
Transcript text: Determine the slope of the line.
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Solution

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Solution Steps

Step 1: Identify two points on the line

From the graph, we can identify two points on the line. Let's choose the points (3,2)(-3, -2) and (3,2)(3, 2).

Step 2: Use the slope formula

The slope mm of a line passing through two points (x1,y1)(x_1, y_1) and (x2,y2)(x_2, y_2) is given by: m=y2y1x2x1 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)(-3, -2) and (3,2)(3, 2) into the slope formula: m=2(2)3(3)=2+23+3=46=23 m = \frac{2 - (-2)}{3 - (-3)} = \frac{2 + 2}{3 + 3} = \frac{4}{6} = \frac{2}{3}

Final Answer

The slope of the line is 23\frac{2}{3}.

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