The line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.
It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
We have two points (2, 8) and (8, 5)
To find the line of best fit using these two points:
[tex]\rm (y-y_1)=\frac{y_2-y_1}{x_2-x_1} (x-x_1)[/tex]
[tex]\rm (y-8)=\frac{5-8}{8-2} (x-2)[/tex]
[tex]\rm (y-8)=-\frac{3}{6} (x-2)\\\\\rm (y-8)=-\frac{1}{2} (x-2)[/tex]
[tex]\rm y = - \frac{1}{2} x +9[/tex]
Thus, the line equation of best fit is y = (-1/2)x+9 if the two points on the line are (2,8) and (8,5) option (C) is correct.
Learn more about the linear equation here:
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