Question

What order pair is found on the line y=−3x
?(1 point)
Responses

(1,−4)
left parenthesis 1 comma negative 4 right parenthesis

(−1,−3)
left parenthesis negative 1 comma negative 3 right parenthesis

(1,3)
left parenthesis 1 comma 3 right parenthesis

(3,−9)

Answer 1

To find an ordered pair on the line defined by the equation \( y = -3x \), we can plug in the x-coordinate from each of the given options and see if the corresponding y-coordinate falls on that line.

1. **For (1, -4)**:
- \( y = -3(1) = -3 \) (not equal to -4)

2. **For (-1, -3)**:
- \( y = -3(-1) = 3 \) (not equal to -3)

3. **For (1, 3)**:
- \( y = -3(1) = -3 \) (not equal to 3)

4. **For (3, -9)**:
- \( y = -3(3) = -9 \) (this matches)

The ordered pair that lies on the line \( y = -3x \) is **(3, -9)**.