Since the equation is in traditional form, the most basic way to carry out this is by finding the intercepts. Set x=0 and resolve for y gives you the y-intercept (0,-3). Set y=0 and deal with for x provides you the x-intercept (5,0).
Plot the 2 points on the coordinate aircraft, then attract a damaged line with them. (The broken line is offered for ineattributes to denote that the suggest ON the line are NOT component of the solution collection. If you have a ≤ or ≥ inehigh quality, the line is solid, signifying that points on the line ARE component of the solution set.
You are watching: What is the graph of 3x + 5y = –15?
Once you have actually graphed the equation, you need to decide on which side of the graph includes the services to the inequality. You have the right to pick any kind of point on either side of the graph (not a point on the graph) and also plug the works with into the inequality to see if true. I made a decision (0,0) which lies over the graph. 3(0) - 5(0)
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Correction because zero is much less than 15, we shade in all points over the graph.
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