The graphical representation reveals the intersection point of the two equations, providing the solution to the system. This point's coordinates represent the values of x and y that satisfy both equations.
To solve the system of equations y = x - 7 and y = -1/3x - 3 graphically, we'll plot both equations on the same set of axes.
Graphical Representation:
For the first equation y = x - 7, the y-intercept is -7, and the slope is 1 (indicating a 45-degree angle).
For the second equation y = -1/3x - 3, the y-intercept is -3, and the slope is -1/3 (indicating a negative slope).
Intersection Point:
The point where the two graphs intersect is the solution to the system. By visually inspecting the graph, we can find the coordinates of this point.
Graph:
The graph shows the two lines intersecting at a specific point. The x- and y-coordinates of this point represent the solution to the system of equations.
Graphically, the solution to the system of equations y = x - 7 and y = -1/3x - 3 is the point of intersection on the graph. The x- and y-coordinates of this point provide the values for x and y that satisfy both equations.
In summary, by visually examining the graph, we can identify the point where the two lines intersect, which represents the solution to the given system of equations.