A snow cone shop owner is changing his traditional cone-shaped paper cups to cylindrical-shaped paper cups, as shown below. The new cylindrical cup will have the same diameter but a different height. If the shop owner wants the new cylindrical cup to hold the same volume as the original cone-shaped cup, how tall must the new cup be?

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is