Questions: Finding the Slope of a Line on a Graph
What is the slope of the line on the graph?
O 1
X 1/2
O 2
O 3
Transcript text: Finding the Slope of a Line on a Graph
What is the slope of the line on the graph?
O 1
X 1/2
O 2
O 3
Solution
Solution Steps
Step 1: Identify Two Points on the Line
To find the slope of the line, we first need to identify two points on the line. From the graph, we can see that the line passes through the points (0, 0) and (2, 1).
Step 2: Use the Slope Formula
The slope \( m \) of a line passing through two points \((x_1, y_1)\) and \((x_2, y_2)\) is given by the formula:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Step 3: Substitute the Points into the Formula
Substitute the points (0, 0) and (2, 1) into the formula:
\[ m = \frac{1 - 0}{2 - 0} = \frac{1}{2} \]