Question

Deane is flying to a destination that is 2745 miles away. The plane's average speed is 450 mph. Write the slope-intercept form of the equation that represents the distance that Deane is from his final destination.

What equation correctly represents Deane's distance from his final destination? please explain

Answer 1

The equation in y = mx+b form is y = -450x+2745

where,
x = number of hours that have passed by
y = distance to destination in miles

The y intercept is 2745 since this is the initial starting y value, aka the starting distance. Therefore b = 2745.

The slope is -450 or -450/1 since for each hour, the distance goes down by 450. You can think of it as
slope = (change in y)/(change in x)
slope = (change in distance)/(change in time)
slope = (-450 miles)/(1 hour)
slope = -450