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?

6 answers

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.
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