Question

Find the slope of the line given its graph.

(1 point)
Responses

−1
negative 1

−56
negative Start Fraction 5 over 6 End Fraction

−5
negative 5

1

Answer 1

To find the slope of a line from its graph, you can use the formula for the slope \( m \):

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

Where \( (x_1, y_1) \) and \( (x_2, y_2) \) are two points on the line. The slope represents the change in \( y \) (vertical change) over the change in \( x \) (horizontal change).

If you have access to the graph, identify two clear points on the line and use their coordinates to calculate the slope.

Since I can't see the graph, I can't directly provide the slope, but you can follow these steps with the points you have on the graph. Here's what each of the possible responses would indicate:

- **−1** suggests the line decreases by 1 unit in y for every 1 unit in x.
- **−\(\frac{5}{6}\)** indicates the line decreases by \(\frac{5}{6}\) units in y for every 1 unit in x.
- **−5** means the line drops by 5 units in y for every 1 unit in x.
- **1** shows the line increases by 1 unit in y for every 1 unit in x.

Choose the option that corresponds to the calculated slope based on the points you identify on the graph. If you provide specific points, I could help you calculate it.