Answer
Both ordered pairs satisfy the given equation (refer to the step-by-step part below).
$(0, 7)$ 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 $(2, 1)$:
$y+3x=7
\\1+3(2)=7
\\1+6=7
\\7=7$
For $(4, -5)$:
$y+3x=7
\\-5+3(4)=7
\\-5+12=7
\\7=7$
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 $(0, 7)$ so it is also a solution of the equation.
