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 points on the line from the graph. For example, the points (-5, -5) and (5, 5) are clearly on the line.
2. Recall the formula for the slope of a line, which is the change in y divided by the change in x: \(m = \frac{y_2 - y_1}{x_2 - x_1}\).
3. Substitute the coordinates of the two points into the slope formula: \(m = \frac{5 - (-5)}{5 - (-5)}\).
4. Simplify the numerator and denominator separately: \(5 - (-5) = 5 + 5\) and \(5 - (-5) = 5 + 5\).
5. Calculate the slope by dividing the simplified numerator by the simplified denominator: \(m = \frac{10}{10}\).