An eagle is flying at a height of 275 feet and climbing at a rate of 65 feet per second. The equation for the height of the bird, [tex]y[/tex], is [tex]y = 275 + 65x[/tex], where [tex]x[/tex] is the number of seconds in flight.

What do the slope and y-intercept represent? Why?

The slope represents the how fast the bird is climbing and the Y intercept represents where the bird started to climb

Answered by rim | 2024-06-10

The slope of the equation y=275+65x represents the eagle's climbing rate of 65 feet per second, and the y-intercept represents the eagle's initial height of 275 feet.

The equation y=275+65x describes the height y of an eagle in flight after x seconds. The slope of this equation is 65, which represents the rate at which the eagle is climbing; in other words, the eagle ascends 65 feet for every second of flight. On the other hand, the y-intercept is 275, which represents the initial height of the eagle at the moment when the time x is zero, meaning that the eagle was already 275 feet off the ground when it started climbing at the given rate. These two components of a linear equation provide crucial information about the motion of the eagle in terms of its vertical position over time.

Answered by BurtLancaster | 2024-06-25

The slope of the equation y = 275 + 65 x indicates that the eagle climbs at a rate of 65 feet per second, while the y-intercept shows that it starts at a height of 275 feet. Thus, the slope represents the climbing rate, and the y-intercept represents the initial height. Together, they help describe the eagle's motion in the air.
;

Answered by rim | 2024-11-13