The problem asks which ordered pairs represent points on the graph of the equation $y = 2x - 3$.

AlgebraLinear EquationsCoordinate GeometryOrdered PairsGraphing
2025/5/12

1. Problem Description

The problem asks which ordered pairs represent points on the graph of the equation y=2x3y = 2x - 3.

2. Solution Steps

We need to check each ordered pair (x,y)(x, y) to see if it satisfies the equation y=2x3y = 2x - 3.
* (2,1)(2, 1): 1=2(2)3=43=11 = 2(2) - 3 = 4 - 3 = 1. This is true.
* (3,3)(3, 3): 3=2(3)3=63=33 = 2(3) - 3 = 6 - 3 = 3. This is true.
* (4,5)(4, 5): 5=2(4)3=83=55 = 2(4) - 3 = 8 - 3 = 5. This is true.
* (0,3)(0, -3): 3=2(0)3=03=3-3 = 2(0) - 3 = 0 - 3 = -3. This is true.
* (2,7)(-2, -7): 7=2(2)3=43=7-7 = 2(-2) - 3 = -4 - 3 = -7. This is true.
* (5,7)(5, 7): 7=2(5)3=103=77 = 2(5) - 3 = 10 - 3 = 7. This is true.

3. Final Answer

(2, 1), (3, 3), (4, 5), (0, -3), (-2, -7), (5, 7)