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Write the equation for the line of best fit shown in the graph below. Show all your work.

Write the equation for the line of best fit shown in the graph below. Show all your-example-1

1 Answer

11 votes

Explanation:

I guess we only need to read the details of the already shown line (and don't need to calculate it from the scratch).

usually I am looking for points with integer coordinates to elaborate the equation.

I see here

(0, 2)

(3, 4)

(6, 6)

(9, 8)

the line equation is

y = ax + b

a being the slope, which is "y coordinate change / x coordinate change" when going from one point to another.

and b being the y-intercept (the y value when x = 0).

we know b already from the first point (0, 2) : b = 2.

so, for the slope we use e.g. the first 2 points

(0, 2) and (3, 4)

x changes by +3 (from 0 to 3).

y changes by +2 (from 2 to 4).

so, the slope is +2/+3 = 2/3

and the line equation is

y = 2/3 x + 2

or

y = 2x/3 + 2

User Jenice
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