The three points that are the solution set of the equation, x + 3y = -5, are shown in the graph below as: (-5, 0), (-2, -1), and (7, -4).
What is the Solution Set of the Equation of a Line?
If a point is a solution to an equation of a line, it means the point lies on the line and its coordinate values will make the equation true if plugged into the equation.
Given the equation, x + 3y = -5, in slope-intercept form, it can be rewritten as y = -1/3x - 5/3.
This means that the line of this equation will have the following features:
The slope of the line = rise/run = -1/3
The y-intercept is -5/3.
The line is drawn in the graph as shown in the image below.
The solution set plotted on the line are: (-5, 0), (-2, -1), and (7, -4).
Learn more about solution of a linear graph on:
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