Question

Determine any data values that are missing from the table, assuming that the data represent a linear function.

X Y
-1 2
0 3
4
2


a.Missing x:1 Missing y:2

c. Missing x:1 Missing y:6

b. Missing x:1 Missing y:5

d. Missing x:2 Missing y:5

Answer 1

d. Missing x:2 Missing y:5

Explanation:

To determine the missing data values, we need to first determine the equation of the linear function that represents the given data. We can use the two given data points (x=0, y=3) and (x=-1, y=2) to find the slope of the function:

slope = (y2 - y1) / (x2 - x1) = (2 - 3) / (-1 - 0) = -1

Next, we can use the point-slope form of a linear equation to find the y-intercept of the function:

y - y1 = m(x - x1)

y - 3 = -1(x - 0)

y - 3 = -x

y = -x + 3

Using this equation, we can determine the missing data values:

When x=4, y = -4 + 3 = -1.

When x=2, y = -2 + 3 = 1.

Therefore, the correct option is:

d. Missing x:2 Missing y:5