Question

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.
(-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

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