Question

What is the slope of the line in the graph?



On a coordinate plane, a line goes through points (negative 2, negative 1) and (0, 1).




slope =

Answer 1

To find the slope of a line that passes through two points, you can use the formula:

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

Given the points \((-2, -1)\) and \((0, 1)\), let's assign the coordinates:

- \( (x_1, y_1) = (-2, -1) \)
- \( (x_2, y_2) = (0, 1) \)

Now, plug the values into the slope formula:

\[
m = \frac{1 - (-1)}{0 - (-2)} = \frac{1 + 1}{0 + 2} = \frac{2}{2} = 1
\]

Thus, the slope of the line is:

\[
\text{slope} = 1
\]