To graph the line with slope 2 passing through the point (4, -5), follow these steps:
1. Start by plotting the given point (4, -5) on the coordinate plane.
2. Since the slope is 2, it means that for every 1 unit increase in the x-coordinate, the y-coordinate will increase by 2 units.
3. Use the slope to find the next point on the line. Start from the given point (4, -5) and move 1 unit to the right (increase the x-coordinate by 1). Since the slope is 2, the y-coordinate will increase by 2 units. Therefore, the next point will be (5, -3).
4. Repeat step 3 to find more points on the line. Move 1 unit to the right and increase the y-coordinate by 2 units each time. Another point on the line would be (6, -1).
5. Connect the plotted points with a straight line. Remember that a line extends infinitely in both directions, so it's not necessary to find every point.
The resulting graph would be a straight line passing through the points (4, -5), (5, -3), (6, -1), and so on, with a slope of 2.