Question

Select all ordered pairs that are a solution for the function y=3x−6.

a. (-1, -3)
b. (-1, 3)
c. (-6, 3)
d. (-3, -15)

Answer 1

The only ordered pair that is a solution for the function y = 3x - 6 is (-3, -15).

Step-by-step explanation:

The function y = 3x - 6 represents a linear equation. To determine which ordered pairs are solutions for this function, we substitute the x-value from each ordered pair into the equation and check if the resulting y-value matches the given y-value.

Let's check the ordered pairs:

1. (-1, -3): y = 3(-1) - 6 = -3 - 6 = -9 (not a match)
2. (-1, 3): y = 3(-1) - 6 = -3 - 6 = -9 (not a match)
3. (-6, 3): y = 3(-6) - 6 = -18 - 6 = -24 (not a match)
4. (-3, -15): y = 3(-3) - 6 = -9 - 6 = -15 (a match)

So, the only ordered pair that is a solution for the function y = 3x - 6 is (-3, -15).