Answer
Both ordered pairs satisfy the given equation so they are solutions of the equation (refer to the step-by-step part below).
$(0, -1)$ 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 $(1, 1)$:
$6x-3y=3
\\6(1)-3(1)=3
\\6-3=3
\\3=3$
For $(-1, -3)$:
$6x-3y=3
\\6(-1)-3(-3)=3
\\-6-(-9)=3
\\-6+9=3
\\3=3$
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 $(0, -1)$ so it is also a solution of the equation.
