Question

Write an equation in slope-intercept form of the line that contains the points in the table.

Answer 1

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:

`slope=(y_2-y_1)/(x_2-x_1)`

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:

`C.(9-(-3))/(1-(-2))`
`D.(-3-11)/(-2-4)`

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