Question

what is the slope of the line that passes through the points (-5,8) and (-5,4)? write your answer in simplest form.

Explanation:

Step1: Recall the slope formula

The slope \( m \) between 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, \( x_1=-5 \), \( y_1 = 8 \), \( x_2=-5 \), \( y_2 = 4 \).

Step3: Substitute into the formula

Substitute the values into the slope formula: \( m=\frac{4 - 8}{-5-(-5)}=\frac{-4}{-5 + 5}=\frac{-4}{0} \).
Division by zero is undefined, so the slope is undefined.

Answer:

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