Amovie theater sends out a coupon for 95% off the price of a ticket. write an equation for the situation, where y is the price of the ticket with the coupon, and x is the original price of the ticket. use pencil and paper. draw a graph of the equation and explain why the line should only be in the first quadrant.

y = 0.05x

Step-by-step explanation:

A movie theater sends out a coupon for 95% off the price of a ticket, so the price of the ticket with the coupon is 100% - 95% = 5% of the original price.

Let

x = original price

y = price of the ticket with the coupon

Then

x - 100%

y - 5%

Write a proportion:

Cross multiply:

Since the original price and final price are always greater than 0, then the graph of this equation is in the first quadrant (see attached diagram)

first one because it can't have a fraction in it

step-by-step explanation:

y = 3x+4

step-by-step explanation:

to find the slope

slope = (y2-y1)/ (x2-x1)

    = (-8-4)/ (-4-0)

    = -12/-4

  = 3

using the slope intercept form of a line

y= mx+b

we know the slope is 3

we know the y intercept is 4 ( the point where it crosses the y axis or x=0)

y = 3x+4