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

B.
[tex]y = \frac{1}{4} x - 2[/tex]

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.)

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lidaralbany lidaralbany · Answer 2 · 2019-07-07T13:25:44+02:00

Answer:

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

[tex]y=\dfrac{1}{4}x+2[/tex]

Step-by-step explanation:

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

[tex]y=mx+c[/tex]

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:

[tex]m=\dfrac{change\ in\ y-value}{change\ in\ x-value}\\\\\\i.e.\\\\m=\dfrac{4-3}{7-3}\\\\i.e.\\\\m=\dfrac{1}{4}[/tex]

Hence, the equation of line of best fit is:

[tex]y=\dfrac{1}{4}x+2[/tex]