Question

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

Answer 1

Answer:

y = (2/5)x + 3

Step-by-step 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

Answer 2

Answer:

The equation is $y = \frac{2}{5} x+3$

Step-by-step 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 $\frac{5-3}{5-0}$ or $\frac{2}{5}$. So the line's equation is $y = \frac{2}{5} x+3$.