To increase her number of students, the instructor put a coupon in the local paper offering to waive the one-time fee for new
students. what is the value of the coupon?
$14
$20
$30
$50

$20

Step-by-step explanation:

Let

x ----> the number of lessons

y ----> the total cost

Find the slope of the linear equation

The formula to calculate the slope between two points is equal to

take two points from the graph

(1,50) and (2,80)

substitute

Find the equation of the line in slope intercept form

where

m is the slope

b is the y-intercept or initial value

we have

substitute

the linear equation is

The term

represent the y-intercept or one-time fee for new students

therefore

The value of the coupon is $20

options a,b,c are the right answer.

step-by-step explanation:

a linear parent function is always represented as y = x

if we write this function in the form of y=mx+c

⇒

or  

now if we plot a graph we will find these characteristics:

1) y intercept of the graph is zero so its a straight line passing through origin.

2) as we can see in both the forms of function written, values of x and y may be either positive or negative for the positive slope means points on the graph are either in first quadrant or in third one.

3) it's slope is one.

what is the graph

step-by-step explanation: