Questions: Use the slope formula to determine the slope of the line containing the two points. Express numbers as integers or simplified fractions. Select "Undefined" if applicable. (-6,4) and (-6,2) The slope is Undefined.

Solution Steps

To find the slope of a line given two points, use the slope formula: \(\text{slope} = \frac{y_2 - y_1}{x_2 - x_1}\). If the denominator is zero, the slope is undefined. For the points \((-6, 4)\) and \((-6, 2)\), calculate the difference in the y-coordinates and the x-coordinates. Since the x-coordinates are the same, the slope is undefined.

The two points given are \((-6, 4)\) and \((-6, 2)\).

Calculate the differences in the y-coordinates and x-coordinates: \[ \Delta y = y_2 - y_1 = 2 - 4 = -2 \] \[ \Delta x = x_2 - x_1 = -6 - (-6) = 0 \]

Using the slope formula: \[ \text{slope} = \frac{\Delta y}{\Delta x} = \frac{-2}{0} \] Since the denominator is zero, the slope is undefined.

Final Answer