Solve the following system of linear equations by graphing. In your submitted answer, describe what the graph looks like and what this tells you about the solution to the system of linear equations in 1-2 sentences.

Question

y=x+3

−4x+4y=28

Answer 1

The graph of the first equation is a straight line with a slope of 1 and a y-intercept of 3. The graph of the second equation is also a straight line that intersects the y-axis at 7 and the x-axis at -7. The intersection point of the two lines represents the solution to the system of linear equations, which in this case is (4, 7).