Question

What is the slope of this graph?

Responses

3
3

−13
negative 1 third

−3
negative 3

13
1 third
Number graph ranging from negative 10 to 10 on both the x and y axis. A line passes through the point begin ordered pair 1 comma negative 1 end ordered pair and the point begin ordered pair negative 1 comma 5 end ordered pair

Answer 1

To find the slope of the line that passes through the points (1, -1) and (-1, 5), you can use the formula for slope:

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

Here, we can assign:
- \((x_1, y_1) = (1, -1)\)
- \((x_2, y_2) = (-1, 5)\)

Now plug in the values:

\[
m = \frac{5 - (-1)}{-1 - 1}
\]

Simplifying this gives:

\[
m = \frac{5 + 1}{-1 - 1} = \frac{6}{-2} = -3
\]

Thus, the slope of the line is \(-3\). Therefore, the correct response is:

**−3**