Both ordered pairs satisfy the given equation so are solutions of the equation (refer to the step-by-step part below). $(2, -1)$ is also a solution of the given 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 $(0, -5)$: $4x-2y=10 \\4(0) - 2(-5)=10 \\0-(-10)=10 \\0+10=10 \\10=10$ For $(4, 3)$: $4x-2y=10 \\4(4)-2(3)=10 \\16-6=10 \\10=10$ 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 $(2, -1)$ so it is also a solution of the equation.