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 Please select the best answer from the choices provided A B C D

Answer 1

The missing data values of the linear function are: B. missing x: 0 missing y:1

What is the Equation of a Linear Function?

The equation, y = mx + b represents a linear function, where m is the slope and b is the y-intercept of the function.

Find the slope using two given pairs of points from the table, (-9, 3) and (-6, 2):

Slope (m) = change in y/change in x = (3 - 2)/(-9 -(-6))

Slope (m) = 1/-3 = -1/3.

Find b by substituting (x, y) = (-9, 3) and m = -1/3 into y = mx + b:

3 = -1/3(-9) + b

3 = 3 + b

3 - 3 = b

0 = b

b = 0

Plug in m = -1/3 and b = 0 into y = mx + b

y = -1/3x

Use the equation to find the missing data values:

When y = 0, x would be:

0 = -1/3x

x = 0

When x = -3, y would be:

y = -1/3(-3)

y = 1

The missing data values are: B. missing x: 0 missing y:1

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