The data in the table illustrate a linear function.
x| –3, 0, 3, 6
y| –6, –2, 2, 6
What is the slope of the linear function? Which graph represents the data?
The answer is A because Y increases by 4 each time and X increases by 3 each time
Are you correct
@ILOVE2CHEAT is he correct?
Not sure, what about the fraction. Isn't it supposed to be positive because the line is going up, not down?
The data in the table illustrate a linear function.
x –3 0 3 6
y –6 –2 2 6
What is the slope of the linear function? Which graph represents the data?
To find the slope of the linear function, we use the formula:
slope (m) = (y2 - y1)/(x2 - x1)
Let's select two points from the table:
(x1, y1) = (-3, -6)
(x2, y2) = (0, -2)
slope (m) = (-2 - (-6))/(0 - (-3))
slope (m) = 4/3
The slope of the linear function is 4/3.
Graph A represents the data as a linear function.
To determine if the data in the table represents a linear function and find its slope, we can use the formula for the slope of a line. The formula for slope is given by:
slope = (change in y) / (change in x)
Let's calculate the slope using the data provided:
From the table, we can see that when x changes from -3 to 0, y changes from -6 to -2. So, the change in y is (-2) - (-6) = 4.
Similarly, when x changes from 0 to 3, y changes from -2 to 2. So, the change in y is 2 - (-2) = 4.
Finally, when x changes from 3 to 6, y changes from 2 to 6. So, the change in y is 6 - 2 = 4.
Now, let's calculate the change in x:
From the table, we can see that x changes by 3 units each time.
So, the change in x is 3.
Now, plugging these values into the slope formula, we have:
slope = (4) / (3) = 4/3
Therefore, the slope of the linear function is 4/3.
To determine which graph represents the data, we can plot the points (x, y) from the table on a coordinate plane and see which graph passes through these points. For that, we can plot the points provided:
(-3, -6), (0, -2), (3, 2), (6, 6)
Now, we can visually compare these points with the graphs given to determine which one represents the data.