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.%0D%0A%0D%0Ay=x+3%0D%0A%0D%0A−4x+4y=28%0D%0A%0D%0A(2 points)
To graph the system of linear equations, we need to first rewrite them in slope-intercept form (y=mx+b):
Equation 1: y = x + 3
Equation 2: -4x + 4y = 28
=> 4y = 4x + 28
=> y = x + 7
Now we can graph both lines.
The first equation, y = x + 3, has a y-intercept of 3 and a slope of 1 (rise of 1, run of 1).
The second equation, y = x + 7, also has a y-intercept of 7 and a slope of 1.
When we plot both lines on the graph, we see that they are parallel to each other, meaning they will never intersect. This tells us that there is no solution to the system of linear equations.