Question

What is the slope of this line? -3, 4 0,5

Answer 1

To find the slope of the line that passes through the points \((-3, 4)\) and \((0, 5)\), we can use the formula for the slope \(m\), which is given by:

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

Here, we can assign the points as follows:
- \((x_1, y_1) = (-3, 4)\)
- \((x_2, y_2) = (0, 5)\)

Now, substitute the values into the slope formula:

\[
m = \frac{5 - 4}{0 - (-3)} = \frac{1}{0 + 3} = \frac{1}{3}
\]

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