Question

Slope equation

m = rise/run = y2-y1/x2 - x1

What is the slope of this line?

(Line goes from (0, -1) to (2, 0))

Answer 1

To calculate the slope \( m \) of the line that goes through the points \((0, -1)\) and \((2, 0)\), you can use the slope formula:

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

Here, we can assign the coordinates of the points as follows:

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

Now, plug these values into the formula:

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

So, the slope of the line is:

\[
\boxed{\frac{1}{2}}
\]