Question

Look at the scatter plot. Which of these equations is the best representation of the trend line?

Answer 1

B.
$y = \frac{1}{4} x - 2$


because of how the slope (Y over X) is 1/4 and the intercept is (0, 2).

The slope is positive because the line moves to the right.

(for me I remember that /it hurts \doesn't. The line is you moving your arm.)

Answer 2

Answer:

The equation  which  is the best representation of the trend line is:

               $y=\dfrac{1}{4}x+2$

Step-by-step explanation:

We know the slope intercept form of a line is given by:

           $y=mx+c$

where m is the slope of the line and c is the y-intercept of the line.

( i.e. the y-coordinate of the point where x=0)

By looking at the scatter plot we observe that it passes through (0,2)

i.e. the y-intercept i.e c=2.

and also the line of  best fit passes through the point (3,3) and (4,7)

Hence, the slope of the line of best fit is:

$m=\dfrac{change\ in\ y-value}{change\ in\ x-value}\\\\\\i.e.\\\\m=\dfrac{4-3}{7-3}\\\\i.e.\\\\m=\dfrac{1}{4}$

Hence, the equation of line of best fit is:

$y=\dfrac{1}{4}x+2$