there ate 4 more oranges than apples in the fruit bowl, there ate 5 more apples than bananas. there are 2 bananas. how many of e
2 answers:
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Answer:
<u>Slope-intercept</u> form of a <u>linear equation</u>:
where:
is the slope
is the y-intercept
To determine the equation of the <u>line of best fit</u> from the given answer options, examine the relationship between the x and y values.
From inspection of the data, we can see that as x increases, y increases. Therefore, the <u>slope</u> of the equation will be <u>positive</u>.
(If the y-values decrease as the x-values increase, then the <u>slope</u> would be <u>negative</u>).
Therefore, we can immediately discount answer options B and D as they have negative slopes.
The x and y values are not very far away from each other. The options given for the slope are either 1.560 or 4.105. If the slope was 4.105, we would expect to see values of y that were further away from the x-values.
Therefore, the line of best fit is:
A: y = 1.560x - 4.105
To prove this, plot the 5 points on a graph and draw a line of best fit (see attached).
Choose 2 points on the line of best fit: (4, 2) and (11, 13)
Use the slope formula with these points to calculate the approximate slope:
Thus proving that y = 1.560x - 4.105 is an appropriate option for the equation of the line of best fit.
