The linear equation best represents y = -1/3x + 12 which is the correct answer would be an option (C).
What is the equation of a line?
The general equation of a line is y = mx + c
where m is the slope of the line and c is the intercept.
You can see the trend line plotted on the graph when you look at it. Conveniently, the trend line shows a few points that are highlighted. Those points are (10,6) and (9,9). The equation of a line in slope intercept form is y = mx + c
Looking at the points available, the point (10,6) already gives us the y-intercept since x is equal to 0. So our equation becomes:
y = mx + 12
Now we need to determine which is the slope.
The slope is the change in y divided by the change in x. So let's do that
(9-10)/(9-6) = -1/3
And now our equation becomes:
y = -1/3x + 12
Learn more about the linear equation here:
brainly.com/question/2263981
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