Question

PLZ HELP MEEEE 40 POINTS!

Answer 1

Step-by-step explanation:

We have been given that Jeanie stated that the equation of this line best fit for the scatter plot is $y=\frac{1}{2}x+8$.

Let us find the slope of the line of best fit using points (2,7) and (4,6) in slope formula.

$\text{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\text{Slope of line of best fit}=\frac{6-7}{4-2}$

$\text{Slope of line of best fit}=\frac{-1}{2}$

We can see that slope of line of best fit is $-\frac{1}{2}$.

Since the equation of a line written in slope-intercept is in form: $y=mx+b$, where m=slope of line, b= y-intercept.  

Upon substituting m=$-\frac{1}{2}$ and coordinates of one point in slope-intercept form of equation we will  get,

$6=-\frac{1}{2}\times 4+b$

$6=-2+b$

$6+2=-2+2+b$

$8=b$

Upon substituting m=$-\frac{1}{2}$ and b=8 in slope intercept form, we will get,

$y=-\frac{1}{2}x+8$

We can see that equation of the line of best fit is $y=-\frac{1}{2}x+8$. Jeanie got 1/2 as slope of the line of best fit, which is wrong, therefore, Jeanie's equation of the line of best fit is not correct.