TABLE D does NOT represent a linear function
Explanation:
The Table is shown below. Each table is a relationship between two variables, namely x and y. By plotting each table in a graphing tool we get:
TABLE A, FIRST FIGURE:
It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{8-5}{-1-0} \\ \\ m=-3[/tex]
TABLE C, SECOND FIGURE:
It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{5-10}{-1-0} \\ \\ m=5[/tex]
TABLE C, THIRD FIGURE:
It is a linear function because we can draw a line that passes through all the points. By using two points, this line has a slope:
[tex]m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}} \\ \\ m=\frac{1-2}{-1-0} \\ \\ m=2[/tex]
TABLE D, FOURTH FIGURE:
It is not a linear function. It is likely this is a parabola that opens downward.
Learn more:
Linear function: https://brainly.com/question/12560127
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