The equation that represents the relationship between X and Y is;
y = 3.5x + 2
The equation of a line in slope intercept form is;
y = mx + c
where;
m is slope
c is y-intercept
Now, from the table, at x = 0, we see that y = 2. Thus, the y-intercept is; c = 2.
Now, the slope is gotten as;
m = (12.5 - 2)/(3 - 0)
m = 3.5
Thus, the equation that represents the relationship between X and Y is;
y = 3.5x + 2
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The equation that describes the relationship between x and y is y = 3.5x + 2
Using linear slope formula,
y = mx + b
where
Therefore,
m = 12.5 - 2 / 3 - 0 = 10.5 / 3 = 3.5
Hence,
The y-intercept is 2. Therefore, the equation of the table is as follows;
y = 3.5x + 2
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