Question

The center post on a teeter-totter is 2 feet high. When one end of the teeter totter rests on the ground, that ends is 7 feet from the center point. Write an equation of the line that follows the path of the teeter-totter.

Answer 1

The equation of the line that follows the path of the teeter-totter is y = 2.

Step-by-step explanation:

The equation of the line that follows the path of the teeter-totter can be represented by the equation y = mx + b, where m is the slope of the line and b is the y-intercept.

In this case, the center post is the y-intercept, which is 2 feet (or 0 meters). Since one end of the teeter-totter rests on the ground, the other end is 7 feet (or 2.13 meters) away from the center point. Since the teeter-totter is symmetrical, the slope of the line is zero, meaning it is a horizontal line.

Therefore, the equation of the line that follows the path of the teeter-totter is y = 0x + 2, which simplifies to y = 2.