Okay, here are the steps to solve this problem:
1. The points given are (2, 22), (3, 33) and (4, 44). These represent the number of seconds and meters traveled at those seconds.
2. Since we have 3 points, we can find the slope of the line formed by those points. The slope formula is: slope = (y2 - y1) / (x2 - x1)
3. Using any two points, say (2,22) and (3,33), the slope is:
slope = (33 - 22) / (3 - 2) = 11 / 1 = 11
4. This means for every 1 second, he travels 11 meters.
5. We can write an equation for the line: y = 11x + b
6. To find b, we can substitute a point, say (2,22). Then:
22 = 11(2) + b
b = 22 - 22 = 0
7. Therefore, the equation of the line is: y = 11x
8. This equation tells us that for every x seconds, he travels 11x meters.
So in summary, the key things we found are:
- The slope is 11 meters per second, meaning he travels 11 meters for every 1 second.
- The equation of the line is y = 11x, where y is meters traveled and x is seconds.
- Using the equation, we can determine how far he traveled for any number of seconds.