Question

A graph has the points (12, 0) and (0, -4). Find the slope

Answer 1

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

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

In your case, the points are \((12, 0)\) and \((0, -4)\). Let's assign:

- \((x_1, y_1) = (12, 0)\)
- \((x_2, y_2) = (0, -4)\)

Now we can plug these values into the slope formula:

\[
m = \frac{-4 - 0}{0 - 12}
\]

Calculating the values:

\[
m = \frac{-4}{-12}
\]

Simplifying this fraction:

\[
m = \frac{4}{12} = \frac{1}{3}
\]

Thus, the slope of the line is \(\frac{1}{3}\).