Step 1. We are given a table of (x, y) values and we need to select the option that represents the slope calculation.
First, we remember the formula to calculate the slope:
[tex]slope=\frac{y_2-y_1}{x_2-x_1}[/tex]
Where (x1, y1) and (x2, y2) are two points or sets of values given for the line.
Step 2. In the numerator of the slope formula, we have a subtraction between y-values.
In the table, the y-values are:
Therefore, in the numerator of the calculation, we must have a subtraction between two of these numbers. This discards options A, and B.
Step 3. In options C and D we have this:
[tex]C.\frac{9-(-3)}{1-(-2)}[/tex][tex]D.\frac{-3-11}{-2-4}[/tex]
In option C, there is a correct subtraction of 9 and -3, but in option D, the correct subtraction would be -3-(-11). Therefore option D is also discarded and the correct answer is C.
Answer: C
