Question

What is the slope of this line? 4,5 -4,-1

Answer 1

To find the slope of the line that passes through the points \((4, 5)\) and \((-4, -1)\), you can 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 \((x_2, y_2) = (-4, -1)\). Plugging in these values:

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

Calculating the differences gives:

\[
m = \frac{-6}{-8} = \frac{6}{8} = \frac{3}{4}
\]

Thus, the slope of the line is \(\frac{3}{4}\).