Question

what is the slope of the line that passes through the points (-10,9) and (-10,18)? write your answer in simplest form.

Explanation:

Step1: Recall 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 coordinates

Here, \( x_1=-10 \), \( y_1 = 9 \), \( x_2=-10 \), \( y_2 = 18 \).

Step3: Substitute into formula

Substitute the values into the slope formula: \( m=\frac{18 - 9}{-10-(-10)}=\frac{9}{-10 + 10}=\frac{9}{0} \).
Division by zero is undefined, so the slope of the line is undefined.

Answer:

The slope is undefined.