Solve the following system of one of your equations by graphing graph on your own piece of paper in your submitted answer just 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
To start, let's rearrange the second equation to be in slope-intercept form:
-4x + 4y = 28
4y = 4x + 28
y = x + 7
Now we have the two equations:
y = x + 3 (Equation 1)
y = x + 7 (Equation 2)
When we graph these two equations, we can see that they are parallel lines since they have the same slope of 1, but different y-intercepts.
This tells us that there are no solutions to the system of linear equations, as parallel lines never intersect.