Question

What is the slope of this line?
Responses

−15
negative 1 fifth

5
5

−5
negative 5

15
1 fifth
Number graph ranging from negative 5 to 5 on both the x and y axis. A line passes through the point begin ordered pair 0 comma 2 end ordered pair and the point begin ordered pair 5 comma 3 end ordered pair

Answer 1

To find the slope of a line given two points, you can use the formula:

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

In this case, the two points given are \( (0, 2) \) and \( (5, 3) \).

- \( (x_1, y_1) = (0, 2) \)
- \( (x_2, y_2) = (5, 3) \)

Now, plug in the values into the slope formula:

\[
m = \frac{3 - 2}{5 - 0} = \frac{1}{5}
\]

Therefore, the slope of the line is \( \frac{1}{5} \).

The correct response is: **1 fifth**.