Question

what is the slope of the line that passes through the points (-9, -9) and (-9, -7)? write your answer in simplest form.

Explanation:

Step1: Recall 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 \( m=\frac{y_2 - y_1}{x_2 - x_1} \).

Step2: Identify the coordinates

Here, \( x_1=-9 \), \( y_1 = - 9 \), \( x_2=-9 \), and \( y_2=-7 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{-7-(-9)}{-9 - (-9)} \).
Simplify the numerator: \( -7-(-9)=-7 + 9 = 2 \).
Simplify the denominator: \( -9-(-9)=-9 + 9 = 0 \).
So we have \( m=\frac{2}{0} \), which is undefined (since division by zero is undefined).

Answer:

The slope is undefined.