To determine the formula that fits the points (1,5), (2,7), (3,9), and (4,11), we can notice that the y-values increase by 2 for each increase of 1 in the x-values. This indicates a linear relationship with a slope of 2.
We can use the slope-intercept form of a line:
\[ y = mx + b \]
where \( m \) is the slope and \( b \) is the y-intercept.
We identified that \( m = 2 \). Now we can find \( b \) by using one of the points. Let's use (1, 5):
\[ y = 2x + b \] \[ 5 = 2(1) + b \] \[ 5 = 2 + b \] \[ b = 5 - 2 = 3 \]
Thus, the equation is:
\[ y = 2x + 3 \]
So, the correct formula based on the given points is:
y = 2x + 3.
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