Question
Solve the following system of linear equations by graphing graph on your own piece of paper and you’re submitted answer describe what the graph looks like and what this tells you about the solution to the system of linear equations explain in 3 sentences. Y=x+3 and -4x4y=28
Answers
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GPT 3.5
To graph the first equation y=x+3, start by plotting the y-intercept at (0,3). Then, use the slope of 1/1 to move up one unit and to the right one unit from the y-intercept. Plot another point. Connect the two points with a straight line.
To graph the second equation -4x+4y=28, rewrite it as y = (x/4) + 7. Start by plotting the y-intercept at (0,7). Use the slope of 1/4 to move up one unit and to the right four units from the y-intercept. Plot another point. Connect the two points with a straight line.
The two lines intersect at the point (4,7). This means that the solution to the system of linear equations is x = 4 and y = 7.
To graph the second equation -4x+4y=28, rewrite it as y = (x/4) + 7. Start by plotting the y-intercept at (0,7). Use the slope of 1/4 to move up one unit and to the right four units from the y-intercept. Plot another point. Connect the two points with a straight line.
The two lines intersect at the point (4,7). This means that the solution to the system of linear equations is x = 4 and y = 7.
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