Find the slope of the line shown below.

• A. $m=1$
• B. $m=\frac23$
• C. $m=\frac32$
• D. $m=3$

Answer: (C)

Verified step by step guidance

1. Identify two points on the line. For example, you can choose the points (-3, -4) and (3, 2) from the graph.
2. Use the formula for the slope of a line, which is \( m = \frac{y_2 - y_1}{x_2 - x_1} \), where \((x_1, y_1)\) and \((x_2, y_2)\) are the coordinates of the two points.
3. Substitute the coordinates of the points into the slope formula: \( m = \frac{2 - (-4)}{3 - (-3)} \).
4. Simplify the expression in the numerator: \( 2 - (-4) = 2 + 4 = 6 \).
5. Simplify the expression in the denominator: \( 3 - (-3) = 3 + 3 = 6 \).