Question

what is the slope of a line that passes through (-4, 0) and (0, 12)

Answer 1

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

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

For the points \((-4, 0)\) and \((0, 12)\), we can assign:

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

Now, substituting these values into the slope formula:

\[
m = \frac{12 - 0}{0 - (-4)} = \frac{12}{0 + 4} = \frac{12}{4} = 3
\]

Thus, the slope of the line that passes through the points \((-4, 0)\) and \((0, 12)\) is \(3\).