Question

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

Answer 1

B.

`y = (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

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

`y=(1)/(4)x+2`

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=(change\ in\ y-value)/(change\ in\ x-value)\\\\\\i.e.\\\\m=(4-3)/(7-3)\\\\i.e.\\\\m=(1)/(4)`

Hence, the equation of line of best fit is:

`y=(1)/(4)x+2`