Question

which ordered pairs are solutions to the equation? select all that apply. (2, -4) (-6, 2) (4, 5) (-2, -1) (7, 2) (6, -7)

Explanation:

Step1: Recall solution - point concept

A solution to a linear - equation is a point on the line. We check if each ordered pair lies on the given line.

Step2: Check (2, - 4)

Locate the point (2, - 4) on the coordinate - plane. It lies on the line.

Step3: Check (-6, 2)

Locate the point (-6, 2) on the coordinate - plane. It lies on the line.

Step4: Check (4, 5)

Locate the point (4, 5) on the coordinate - plane. It does not lie on the line.

Step5: Check (-2, -1)

Locate the point (-2, -1) on the coordinate - plane. It does not lie on the line.

Step6: Check (7, 2)

Locate the point (7, 2) on the coordinate - plane. It does not lie on the line.

Step7: Check (6, -7)

Locate the point (6, -7) on the coordinate - plane. It does not lie on the line.

Answer:

(2, - 4), (-6, 2)