Answer
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.
