Question

what is the equation of the line of best fit? y = 1/2 x + 3 y = 2x y = - 1/2 x - 3 y = 3x + 7

Explanation:

Step1: Observe the slope - direction

The line of best fit in the graph has a positive slope (rises from left to right), so we can eliminate the option with a negative slope $y =-\frac{1}{2}x - 3$.

Step2: Observe the y - intercept

The line of best fit intersects the y - axis above the origin. For $y = 2x$, the y - intercept is 0. For $y = 3x+7$, the y - intercept is 7 which seems too high. For $y=\frac{1}{2}x + 3$, the y - intercept is 3 and the slope is moderate which seems to match the line in the graph.

Answer:

$y=\frac{1}{2}x + 3$