The number 7 is the best prediction of the output when the input is 13.
What is the equation of a line passing through two given points in 2 dimensional plane?
Suppose the given points are (x_1, y_1) and (x_2, y_2), then the equation of the straight line joining both two points is given by
[tex](y - y_1) = \dfrac{y_2 - y_1}{x_2 - x_1} (x -x_1)[/tex]
The equation of the line is found as;
[tex]\rm y-y_1= \frac{y_2-y_1}{x_2-x_1} \\\\ \rm y-9= \frac{31-9}{2+5} (x+5)\\\\ 7y-63 = \frac{31-9}{2+5} (c+5)\\\\ 7y-63=22x+110\\\\ 7y= 22x+173 \\\\ but ,x=13\\\\ 7y=22 \times 13 +173\\\\ y= \frac{1259}{7} \\\\ y= 179[/tex]
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