Solve the following system of equations graphically on the set of axes below. y = -1/3 x – 5 x – y = -3 Plot two lines by clicking the graph. Click a line to delete it

To solve the system of equations graphically, we’ll first rearrange both equations into the slope-intercept form (y = mx + b), if needed, and then plot them on the graph.

1. First Equation:

( y = -frac{1}{3}x – 5 )

This line has a slope of -1/3 and a y-intercept at -5.

2. Second Equation:

Rearranging ( x – y = -3 ) gives us:

( y = x + 3 )

This line has a slope of 1 and a y-intercept at 3.

Steps to Graph:

– Start with the first equation. Mark the point (0, -5) on the graph for the y-intercept, and plot another point using the slope. From (0, -5), go up 1 unit and right 3 units to get a second point at (3, -4). Draw the line through these points.

– Next, for the second equation, mark the point (0, 3) on the graph for the y-intercept, and plot a second point using the slope. From (0, 3), go up 1 unit and right 1 unit to get a second point at (1, 4). Draw the line through these points.

Finding the Intersection:

The intersection of the two lines is the solution