Final answer:
After moving left 3 units and up 4 units from the starting point (5, 4), the new position is at point (2, 8).
Step-by-step explanation:
Starting at the point (5, 4) and moving left (which is the negative x-direction) by 3 units, your x-coordinate decreases by 3. So, from x=5, you subtract 3, giving you x=2. Next, moving up 4 units means increasing your y-coordinate by 4, which is the positive y-direction. So, from y=4, you add 4, resulting in y=8. Therefore, the new position after these movements is at point (2, 8).