Find the slope of the line shown below.

• A. $m=1$
• B. $m=\frac{2}{3}$
• C. $m=\frac{3}{2}$
• D. $m=3$

Answer: (C)

Verified step by step guidance

1. Identify two clear points on the line from the graph. For example, the line passes through the points (-3, -5) and (3, 5).
2. Recall the formula for the slope of a line: \(m = \frac{\Delta y}{\Delta x} = \frac{y_2 - y_1}{x_2 - x_1}\), where \((x_1, y_1)\) and \((x_2, y_2)\) are two points on the line.
3. Substitute the coordinates of the two points into the slope formula: \(m = \frac{5 - (-5)}{3 - (-3)}\).
4. Simplify the numerator and denominator separately: \(5 - (-5) = 5 + 5\) and \(3 - (-3) = 3 + 3\).
5. Calculate the slope by dividing the simplified numerator by the simplified denominator to find the slope of the line.