Question

This is a side view of a roller coaster. (see attached image.)

Answer 1

Let every line = 1 unit:

Point C is located at (0,0)

Point D is located at (7, 12)

The slope is the change in Y over the change in X:

Slope = 12-0 / 7-0 =  12/7

The equation of the line from C to D using mx +b:

m = slope, which we already calculated as 12/7

To solve for b, replace m with 12/7 to get

y=12/7x +b

replace x with 0 ( from point C )

y = 12/7(0) +b

Replace y with 0 (also from point C)

0 = 12/7(0)+b

Solve for b:

b = 0

The equation becomes y= 12/7x

The Domain is the X values, which range from A to E, -12 to 13

Which is written as (-12,13) or -12≤x≤13

The range is the Y values, which range from A to D, 0 , 12

Which is written as (0,12) or 0≤y≤12