C. 2/3
The slope of a linear function can be found by using the formula:
slope = (y2 - y1) / (x2 - x1)
Choosing any two points from the table, we can calculate the slope:
slope = (1 - (-5)) / (4 - 0) = 6 / 4 = 3 / 2
Therefore, the slope of the linear function is 3/2.
To determine which graph represents the data, we need to plot the points (0,-5), (2,-2), (4,1), and (6,4) and look for a straight line passing through them. The only graph that fits this description is:
```
| X
| X
| X
| X
|
---------------
0 2 4 6
```
Therefore, the answer is option B: 3/2 is the slope of a different linear function, and option D: -3/2 is the negative of the slope of the actual function.
The data in the table illustrate a function.
x 0 2 4 6
y -5 -2 1 4
What is the slop of the linear function? Which graph graph represents the data?
A. - 2/3
B. 3/2
C. 2/3
D. -3/2
1 answer