Graph two lines to find x and y values that make both y=−23x+3 and y=2x−5 true. Use the menu at the top of the graph. Select “line” to begin. Click on any two points on the line to graph it.
To graph the equations y = -23x + 3 and y = 2x - 5, we can follow the steps below:
1. Open the graphing tool or software.
2. Select the "line" option from the menu at the top of the graph.
3. Click on two different points on the graph to draw the line. Make sure the points are well-distributed on the graph to cover a wide range of x and y values.
Here is an example of how the graph might look:
- Grid settings: Set the gridlines and spacing preferences on the graph if needed.
- Equation 1: y = -23x + 3
- Choose a point, for example, (-2, 49): Click on the graph at the coordinates (-2, 49).
- Choose another point, for example, (2, -43): Click on the graph at the coordinates (2, -43).
- Equation 2: y = 2x - 5
- Choose a point, for example, (-2, -9): Click on the graph at the coordinates (-2, -9).
- Choose another point, for example, (2, -1): Click on the graph at the coordinates (2, -1).
Once you have plotted the points, the lines representing the two equations should appear on the graph. The intersection point between these two lines represents the x and y values that satisfy both equations simultaneously.