Abottle of hand lotion is on sale for $2.25 . if this price represents a 50% discount from the original price , what is the original price to the nearest cent ?

So 2.25 is 50% of the original price
let's write original price as x
50% of x = 2.25
0.5 * x = 2.25
divide both sides by 0.5
x = 4.5

The original price is 4.5

To check:
50% * (4.5) =?= 2.25
0.5 * 4.5 =?= 2.25
2.25 = 2.25

Hope this helps.

It has a slope of 1 nd a y intercept of -2