The given points defines a line from which the linear function can be
determined and the included point on the line can be found.
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
Reasons:
The given points on the linear function are; (-3, -7), (6, -4)
The slope of the line is given as follows;
[tex]Slope, \, m =\dfrac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
Therefore, we get;
[tex]Slope, \, m =\dfrac{-4-(-7)}{6-(-3)} = \dfrac{1}{3}[/tex]
The equation of the function is therefore;
[tex]y - (-4) = \dfrac{1}{3} \cdot (x - 6)[/tex]
[tex]y = \dfrac{x}{3} - 6[/tex]
Graphing the above equation on the calculator gives the points;
(-9, -9), (3, -5), (12, -2), and (9, -3)
Therefore;
The point also included on the line is D. [tex]\underline {(9, \, -3)}[/tex]
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https://brainly.com/question/2116490
