Question

what is the slope of a line whose graph contains the points (-2 -6 )and (0 0)

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 for slope:

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

In this case, the points are \((-2, -6)\) and \((0, 0)\). Let's assign:

- \((x_1, y_1) = (-2, -6)\)
- \((x_2, y_2) = (0, 0)\)

Now, plug the values into the slope formula:

\[
m = \frac{0 - (-6)}{0 - (-2)} = \frac{0 + 6}{0 + 2} = \frac{6}{2} = 3
\]

So, the slope of the line is \(3\).