Question

which ordered pairs represent points on the graph of this equation? select all that apply.
$y = 2x - 3$
$(-2, -7)$ $(2, 1)$ $(5, 7)$
$(3, 3)$ $(0, -3)$ $(4, 5)$

Explanation:

Step1: Check (-2, -7)

Substitute \(x = -2\) into \(y = 2x - 3\): \(y = 2(-2) - 3 = -4 - 3 = -7\). So (-2, -7) is on the graph.

Step2: Check (2, 1)

Substitute \(x = 2\) into \(y = 2x - 3\): \(y = 2(2) - 3 = 4 - 3 = 1\). So (2, 1) is on the graph.

Step3: Check (5, 7)

Substitute \(x = 5\) into \(y = 2x - 3\): \(y = 2(5) - 3 = 10 - 3 = 7\). So (5, 7) is on the graph.

Step4: Check (3, 3)

Substitute \(x = 3\) into \(y = 2x - 3\): \(y = 2(3) - 3 = 6 - 3 = 3\). So (3, 3) is on the graph.

Step5: Check (0, -3)

Substitute \(x = 0\) into \(y = 2x - 3\): \(y = 2(0) - 3 = 0 - 3 = -3\). So (0, -3) is on the graph.

Step6: Check (4, 5)

Substitute \(x = 4\) into \(y = 2x - 3\): \(y = 2(4) - 3 = 8 - 3 = 5\). So (4, 5) is on the graph.

Answer:

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