Both ordered pairs satisfy the equation so they are solutions of the equation (refer to the step-by-step part below). $(0, -2)$ is also a solution of the equation.
Work Step by Step
An ordered pair (or point) is a solution to a given linear equation if its x and y values satisfy the equation. Substitute the x and y values of each ordered pair into the given equation. For $(3, 1)$: $y=x-2 \\1=3-2 \\1=1$ For $(-2, -4)$: $y=x-2 \\-4=-2-2 \\-4=-4$ Both ordered pairs satisfy the equation, so they are both solutions of the given equation. Plot both points on the same coordinate plane, then connect them using a straight line (refer to the attached graph below). Any other point on the line is a solution of the given equation. Note that the line contains the point $(0, -2)$ so it is also a solution of the equation.