Question

Suzie 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. The ordered pairs 0, 3 and 1, 3 and 2, 4 and 3, 7 and 4, 6 and 5, 8 and 6, 10 and 7, 10 and 8, 12 and 9, 14 and 10, 15 are shown on the graph. A straight line joins the ordered pairs 0, 3 and 10, 15. What is the approximate equation of this line of best fit in slope-intercept form?

Answer 1

y = 1.2 x + 3

Explanation:

Hope this helps

Answer 2

We are given that the straight line is formed by connecting ordered pairs:

(x1, y1) = (0, 3)

(x2, y2) = (10, 15)

We are to find for the best fit equation in the slope-intercept form which is in the form of:

y = m x + b

Where m is the slope of the line and b is the y-intercept. The slope m is calculated by:

m = (y2 – y1) / (x2 – x1)

m = (15 – 3) / (10 – 0)

m = 12 / 10

m = 1.2

The y-intercept b is the value of y when x = 0, therefore b = y1 = 3

Substituting the values of m and b, the answer is:

y = 1.2 x + 3