The ratio of the change in the y and x values, in the table gives the slope
graph of the linear function.
Correct response:
- The slope of the linear function is -6
Method used for finding the slope
From the given table, we have;
The first difference of the y-values = 2 - 8 = -6 = Constant
The rate of change of the x-values = 1 = Constant
Therefore;
The function is a linear function;
The slope, m, is given by the formula;
[tex]Slope, \ m = \mathbf{ \dfrac{y_2 - y_1}{x_2 - x_1}}[/tex]
Taking a pair of points as follows;
(0, -4) = (x₁, y₁)
(2, -16) = (x₂, y₂)
We have;
[tex]m = \dfrac{-16 - (-4)}{2 - 0} = \dfrac{-16 + 4}{2} = \dfrac{-12}{2} = \mathbf{ -6}[/tex]
- The slope of the linear function, m = -6
Learn more about linear functions here:
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