To graph the linear equation y = 2x - 3, follow these steps:
1. Set up a coordinate plane with the x-axis and y-axis labeled. The x-axis should range from negative 9 to 9, and the y-axis should range from negative 11 to 11, both in increments of 1.
2. Plot the two given points (0, 3) and (1, 5) on the coordinate plane. The first point has x-coordinate 0 and y-coordinate 3, and the second point has x-coordinate 1 and y-coordinate 5.
3. Draw a straight line passing through the two plotted points. The line should be solid and have arrows at both ends. This line represents the graph of the equation y = 2x - 3.
To graph the linear equation y = -2x + 1, follow these steps:
1. Set up a coordinate plane with the x-axis and y-axis labeled. The x-axis should range from negative 9 to 9, and the y-axis should range from negative 11 to 11, both in increments of 1.
2. Plot the two given points (0, 1) and (1, 4) on the coordinate plane. The first point has x-coordinate 0 and y-coordinate 1, and the second point has x-coordinate 1 and y-coordinate 4.
3. Draw a straight line passing through the two plotted points. The line should be solid and have arrows at both ends. This line represents the graph of the equation y = -2x + 1.
To graph the linear equation y = -2x - 2, follow these steps:
1. Set up a coordinate plane with the x-axis and y-axis labeled. The x-axis should range from negative 9 to 9, and the y-axis should range from 11 to negative 11, both in increments of 1.
2. Plot the two given points (1, -1) and (0, -3) on the coordinate plane. The first point has x-coordinate 1 and y-coordinate -1, and the second point has x-coordinate 0 and y-coordinate -3.
3. Draw a straight line passing through the two plotted points. The line should be solid and have arrows at both ends. This line represents the graph of the equation y = -2x - 2.