The line of best fit for a scatter plot is shown:

a scatter plot is shown. data points are located at 0 and 8, 2 and 8, 4 and 5, 6 and 3, 6 and 5, 6 and 7, 9 and 4, 10 and 2. a line of best fit passes through the y-axis at 8 and continues downward passing through the point 6 and 5.

what is the equation of this line of best fit in slope-intercept form?

y = negative one halfx + 8
y = −2x + 8
y = −8x + one half
y = −8x + 2

y = -1/2 x + 8   (your first choice)

Explanation:

Looking at the line, its slope is -1/2. (Just look at the line segment between x=0 and x=2, the function value goes down by one, from 8 to 7)

Another close look at the line, y-intercept is 8.

A general line equation is y = slope * x + yintercept. So in this case: y=-1/2*x +8

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