Question

Analyze the graph. Use the triangle to find the slope, m, of the line.





What is the slope, m, of the line? Enter your answer as a decimal. Round to the nearest hundredth.

Answer 1

To find the slope \( m \) of a line using the triangle method, you need two points on the line, which we can denote as \( (x_1, y_1) \) and \( (x_2, y_2) \). The slope is calculated using the formula:

\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]

Follow these steps to calculate the slope:

1. Identify two points on the line. For example, let’s say you select the points \( (x_1, y_1) \) and \( (x_2, y_2) \).
2. Plug the coordinates of the points into the formula.
3. Calculate the difference in the \( y \)-coordinates (the vertical change) and the difference in the \( x \)-coordinates (the horizontal change).
4. Divide the vertical change by the horizontal change to find the slope.
5. Round your final answer to the nearest hundredth.

Since I do not have access to the graph itself, please provide the coordinates of two points on the line, and I can help you calculate the slope.