Questions: Find the slope of the line between the two points. (If an answer is undefined, enter UNDEFINED.) (5,9); (-1,9)

Solution Steps

To find the slope of the line between two points, use the formula for the slope \( m \) which is \((y_2 - y_1) / (x_2 - x_1)\). If the denominator is zero, the slope is undefined.

The two points given are \( (5, 9) \) and \( (-1, 9) \).

Using the slope formula \( m = \frac{y_2 - y_1}{x_2 - x_1} \):

• Here, \( y_1 = 9 \), \( y_2 = 9 \), \( x_1 = 5 \), and \( x_2 = -1 \).
• Calculate the difference in \( y \): \( y_2 - y_1 = 9 - 9 = 0 \).
• Calculate the difference in \( x \): \( x_2 - x_1 = -1 - 5 = -6 \).

Thus, the slope \( m \) is: \[ m = \frac{0}{-6} = 0 \]

The slope of the line between the two points is \( 0 \), indicating a horizontal line.

Final Answer