Carl drew the line of best fit on the scatter plot shown below: A graph is shown with scale along x axis from 0 to 10 at increments of 1 and scale along y axis from 0 to 15 at increments of 1 and scale along y axis from 0 to 15 at increments of 1. The ordered pairs 0, 1 and 1, 2.5 and 2, 3.8 and 3, 6 and 4, 5 and 5, 8 and 6, 10 and 7, 11 and 8, 13 and 9, 13.5 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 1 and 10, 15. What is the approximate equation of this line of best fit in slope-intercept form? (1 point)
y = x + 7 over 5
y = 7 over 5x + 1
y = 5 over 7x + 1
y = x + 5 over 7

Option B: is the line of best fit in slope - intercept form

Explanation:

It is given that the straight line joins the ordered pairs and

We need to determine the line of best fit in slope - intercept form.

The equation of the line of best fit in slope - intercept form is given by

where m is the slope and b is the y - intercept

The slope can be determined by substituting the points and in the formula,

Thus, the slope is

The y - intercept is the value of y when the value of the x - coordinate is zero.

Thus, from the ordered pair , the y -intercept of the graph is

Substituting the slope and the y - intercept in the equation , we get,

Thus, the equation of line of best fit in slope - intercept form is

Hence, Option B is the correct answer.

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