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.
50 answers