14 of 1414 of 14 Items
Question
Solve the following system of linear equations by graphing. Graph on your own piece of paper. In your submitted answer, describe what the graph looks like and what this tells you about the solution to the system of linear equations.
y=x+3
−4x+4y=28
(2 points)
Math Short Answer Rubric (2 points)
To solve the system of linear equations by graphing, you would graph the two equations on the same coordinate plane.
For the first equation, y=x+3, you would start by plotting the y-intercept at (0, 3), and then use the slope of 1 to find another point.
For the second equation, -4x+4y=28, you would first simplify it to y=x+7. Plot the y-intercept at (0, 7), and then use the slope of 1 to find another point.
When you graph both equations, you will see that they intersect at the point (4, 7). This tells you that the solution to the system of linear equations is x=4, y=7.