John drew the line of best fit on the scatter plot shown. 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, 3 and 1, 2 and 2, 4 and 3, 6 and 4, 6 and 5, 8 and 6, 10 and 7, 11 and 8, 12 and 9, 12 and 10, 14 are shown on the graph. A straight line joins the ordered pairs 0, 2 and 10, 14. What is the equation of this line of best fit in slope-intercept form? y = 2x + 6 over 5 y = 5 over 6x + 2 y = 2x + 5 over 6 y = 6 over 5x + 2

Question

Mathematics

Janiah Haynes

23 March, 06:18

John drew the line of best fit on the scatter plot shown. 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, 3 and 1, 2 and 2, 4 and 3, 6 and 4, 6 and 5, 8 and 6, 10 and 7, 11 and 8, 12 and 9, 12 and 10, 14 are shown on the graph. A straight line joins the ordered pairs 0, 2 and 10, 14. What is the equation of this line of best fit in slope-intercept form? y = 2x + 6 over 5 y = 5 over 6x + 2 y = 2x + 5 over 6 y = 6 over 5x + 2

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Answers (1)

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Ross Chase · Answer 1

Equatin of a line in slope intercept form is y = mx + c; where m = (y2 - y1) / (x2 - x1) = (14 - 2) / (10 - 0) = 12/10 = 6/5

Equation of a line is obtained by (y - y1) = m (x - x1)

(y - 2) = 6/5 (x - 0)

y - 2 = 6/5x

y = 6/5x + 2