Answer:
The correct option is 3.
Step-by-step explanation:
It is given that the line of best fit passes through the y-axis at 6 and through the point (4,3).
If a line passes through two points \((x_1,y_1)\) and \((x_2,y_2)\), then the equation of line is
\(y-y_1=\frac{y_2-y_1}{x_2-x_1}(x-x_1)\)
The line passes through the points (0,6) and (4,3). So, the equation of best line is
\(y-6=\frac{3-6}{4-0}(x-0)\)
\(y-6=\frac{-3}{4}(x)\)
\(y-6=-\frac{3}{4}x\)
Add 6 on both sides.
\(y-6+6=-\frac{3}{4}x+6\)
\(y=-\frac{3}{4}x+6\)
The equation of line of best fit in slope-intercept form is \(y=-\frac{3}{4}x+6\).
Therefore the correct option is 3.
