Questions: Use the points shown on the graph to determine the slope of the line. Write the slope of the equation. Select the correct choice below and fill in the answer box to complete your choice. (Simplify your answer. Use an integer or a simplified fraction.) The slope is undefined. The slope of the line is

Solution Steps

Locate the two points on the graph that the line passes through. In this case, the points are (2, 3) and (2, -2).

Calculate the difference in the y-coordinates of the two points: \[ \Delta y = y_2 - y_1 = -2 - 3 = -5 \]

Calculate the difference in the x-coordinates of the two points: \[ \Delta x = x_2 - x_1 = 2 - 2 = 0 \]

The slope \( m \) is given by the formula: \[ m = \frac{\Delta y}{\Delta x} = \frac{-5}{0} \] Since division by zero is undefined, the slope of the line is undefined.

Final Answer