Calculate the slope of the line based on the two points in the graph. Leave the answer in simplest fraction form, if it applies. If the slope is undefined, enter a value of 100.

Question

(-4,5) (8,-1)

Answer 1

To calculate the slope of the line based on the two points \((-4,5)\) and \( (8,-1) \), we use the formula for the slope \( m \):

\[ m = \frac{y_2 - y_1}{x_2 - x_1} \]

Here, let's assign:

• \( (x_1, y_1) = (-4, 5) \)
• \( (x_2, y_2) = (8, -1) \)

Now, substitute the values into the formula:

\[ m = \frac{-1 - 5}{8 - (-4)} \]

Calculating the differences in the numerator and the denominator:

\[ m = \frac{-6}{8 + 4} = \frac{-6}{12} \]

Now simplify the fraction:

\[ m = \frac{-1}{2} \]

Therefore, the slope of the line is

\(\boxed{-\frac{1}{2}}\).