The data in the table illustrate a linear function 0 2 4 6 y 5-214 What is the slope of the linear function? Which graph represents the data? (1 point) 7 - 2 3 / -8 0 -8
Slope of the linear function can be calculated using the formula:
slope = (change in y)/(change in x)
Given data points:
(0, 5), (2, -2), (4, 4), (6, -6)
Let's calculate the slope using the formula:
slope = (-6 - 4)/(6 - 4)
slope = -10/2
slope = -5
Therefore, the slope of the linear function is -5.
Out of the given graphs:
Graph 1: (7, 3)
Graph 2: (-8, 0)
Graph 3: (-8, -8)
From the data points we calculated, we can see that the slope of the linear function is negative. Thus, Graph 3 (line passing through (-8, 0) and (-8, -8)) represents the data.