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
To solve the system of linear equations by graphing, we can first rearrange both equations to the slope-intercept form (y=mx+b). The first equation becomes y=x+3 and the second equation becomes y=0.25x+7. To graph these equations, we plot the y-intercept of the equation (3 for the first equation and 7 for the second equation) and then use the slope to find additional points. The graph shows that these two lines intersect at the point (4,7), indicating that this is the solution to the system of linear equations.
