Analyze the linear function whose slope is −3 and passes through the coordinate pair (−2,9) . Which linear function matches this line?

Question

Responses

y=−3x+3

y=−2x−3

y=−3x+9

y=3x−3

Answer 1

The correct linear function that matches this line is y = -3x + 3.

To confirm this, we can plug in the given coordinate pair (-2,9) into each of the linear functions and see which one satisfies the equation.

- For y = -3x + 3:

9 = -3(-2) + 3
9 = 6 + 3
9 = 9

- For y = -2x - 3:

9 = -2(-2) - 3
9 = 4 - 3
9 = 1 (not equal)

- For y = -3x + 9:

9 = -3(-2) + 9
9 = 6 + 9
9 = 15 (not equal)

- For y = 3x - 3:

9 = 3(-2) - 3
9 = -6 - 3
9 = -9 (not equal)

Thus, y = -3x + 3 is the only linear function that matches the given line.