Final answer:
To graph a line with a slope of -2 and a y-intercept of -3, plot the y-intercept and use the slope to find another point. The points that lie on this line satisfy the equation y = -2x - 3.
Step-by-step explanation:
To graph a line with a slope of -2 and a y-intercept of -3, we can start by plotting the y-intercept, which is the point (0, -3) on the graph. Then, using the slope, we can find another point on the line by moving down 2 units on the y-axis and one unit to the right on the x-axis. This gives us the point (1, -5). We can continue this process to find more points on the line.
The points that lie on the same line are the ones that satisfy the equation of the line, y = -2x - 3. By substituting the coordinates of each point given in the options into this equation, we can determine which points lie on the line.