Final answer:
To determine the slopes of different lines given functions and points, use the formula: Slope = (change in y) / (change in x).
Step-by-step explanation:
The slope of a line can be found using the formula:
Slope = (change in y) / (change in x)
- For the line represented by the function: x -7 -4 -1 2 5 y 5 4 3 2 1, the slope can be calculated as follows:Slope = (change in y) / (change in x)Slope = (1-5)/(5-(-7)) = -4/12 = -1/3So, the slope of this line is -1/3.
- For the line passing through the points (5,3) and (6,9), the slope can be calculated as follows:Slope = (change in y) / (change in x)Slope = (9-3)/(6-5) = 6/1 = 6So, the slope of this line is 6.
- For the line passing through the points (6,-2) and (8,3), the slope can be calculated as follows:
- So, the slope of this line is 2.5.