Given:
Two points that are close to the line of best fit are (2,70) and (4.5, 90).
To find:
Th equation of best fit line using the given two points.
Solution:
We know that, if a line passes through the two points, then the equation of line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
Two points (2,70) and (4.5, 90) are close to the best fit line.
Consider the two points (2,70) and (4.5, 90). So, the equation of line is
[tex]y-70=\dfrac{90-70}{4.5-2}(x-2)[/tex]
[tex]y-70=\dfrac{20}{2.5}(x-2)[/tex]
[tex]y-70=8(x-2)[/tex]
[tex]y-70=8x-16[/tex]
Adding 70 on both sides, we get
[tex]y=8x-16+70[/tex]
[tex]y=8x+54[/tex]
Therefore, the equation of best fit line is [tex]y=8x+54[/tex].
