Use the image to answer the 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. (1 point) The slope .-4,5 and 8,-4

Answer 1

To calculate the slope of the line passing through the points \((-4, 5)\) and \((8, -4)\), we use the formula for the slope \(m\):

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

Here, \((x_1, y_1) = (-4, 5)\) and \((x_2, y_2) = (8, -4)\).

Now substituting the values into the formula:

\[ m = \frac{-4 - 5}{8 - (-4)} = \frac{-4 - 5}{8 + 4} = \frac{-9}{12} \]

To simplify \(\frac{-9}{12}\), we can divide both the numerator and the denominator by their greatest common divisor, which is 3:

\[ \frac{-9 \div 3}{12 \div 3} = \frac{-3}{4} \]

Thus, the slope of the line is:

\[ \boxed{-\frac{3}{4}} \]