Questions: Estimate the slope of the line from its graph. Express numbers as integers or simplified fractions. Select "Undefined" if applicable.
The slope is .
Transcript text: Estimate the slope of the line from its graph. Express numbers as integers or simplified fractions. Select "Undefined" if applicable.
The slope is $\square$.
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. Let's choose the points where the line intersects the grid lines for simplicity.
Step 2: Determine the Coordinates of the Points
Assume the two points we identified are \((x_1, y_1)\) and \((x_2, y_2)\). For example, let's say the points are \((1, 2)\) and \((3, 4)\).
Step 3: Apply 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:
\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]
Step 4: Substitute the Coordinates into the Formula
Substitute the coordinates of the points into the slope formula:
\[ m = \frac{4 - 2}{3 - 1} = \frac{2}{2} = 1 \]