Question

Find the equation of the line of best fit in slope intercept form . please help

Answer 1

The equation is
`y = (2)/(5) x+3`

Explanation:

The line of best fit has an x-intercept of 3, so the constant in the equation would be 3. Since one of the points on the line is (5, 5), the change in y over the change in x (the slope) is going to be
`(5-3)/(5-0)` or
`(2)/(5)`. So the line's equation is
`y = (2)/(5) x+3`.

Answer 2

y = (2/5)x + 3

Explanation:

Note that the y-intercept is (0, 3) and that the line passes right through the point (5, 5). First we find the slope of this line: m = rise/run.

As we move from (0, 3) to (5, 5), we see that x increases by 5 (the run) and y increases by 2 (the rise). Thus, the slope of this line is m = 2/5.

Now we know that m = 2/5, x = 5, y = 5 and b (the y-intercept) is 3. Then our equation is y = mx + b, or y = (2/5)x + 3