Question

What is the slope of this line?
-4,-5. 0,0.
Simplify your answer and write it as a proper fraction, improper fraction, or integer.

Answer 1

To find the slope of a line given two points \((x_1, y_1)\) and \((x_2, y_2)\), we use the slope formula:

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

Given the points \((-4, -5)\) (where \(x_1 = -4\) and \(y_1 = -5\)) and \((0, 0)\) (where \(x_2 = 0\) and \(y_2 = 0\)), we can substitute these values into the formula:

\[
m = \frac{0 - (-5)}{0 - (-4)}
\]

This simplifies to:

\[
m = \frac{0 + 5}{0 + 4} = \frac{5}{4}
\]

Thus, the slope of the line is:

\[
\frac{5}{4}
\]