A graph of the system of linear equations is shown on the coordinate plane in the picture below. This system has no solution.
In order to graphically determine the solution for this system of linear equations on a coordinate plane, we would make use of an online graphing calculator to plot the given system of linear equations while taking note of the point of intersection;
y = 1/4(x) - 4 ......equation 1.
2x - 8y = 8 ......equation 2.
Based on the graph shown, we can logically deduce that this system of linear equations has no solution because the lines are parallel lines with no point of intersection, but the same slope.