Questions: Determine the slope of the line.

Transcript text: Determine the slope of the line.

Solution

Solution Steps

Step 1: Identify Two Points on the Line

To determine the slope of the line, we first need to identify two points on the line. From the image, we can see that the line passes through the points (0, 1) and (2, 3).

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 Coordinates into the Formula

Substitute the coordinates of the points (0, 1) and (2, 3) into the formula: \[ m = \frac{3 - 1}{2 - 0} \]

Step 4: Simplify the Expression

Simplify the expression to find the slope: \[ m = \frac{2}{2} = 1 \]