Daisy purchases a gym membership. she pays a signup fee and a monthly fee off 13$.after 4 months, she has paid a total of$69.use a linear equation in point-slope form to find the signup fee. solve the problem using an equation in point-slope form.

The signup fee is $17

Step-by-step explanation:

we know that

The equation in point slope form is equal to

where

m is the slope or unit rate of the linear equation

(x1,y1) is a ordered pair of the line

Let

x -----> the number of months

y -----> the total cost of a gym membership

In this problem we have

The slope of unit rate is equal to

The ordered pair is

substitute

----> equation in point slope form

Convert to slope intercept form

---> equation in slope intercept form

The y-intercept is the signup fee (value of y when the value of x is equal to zero)

therefore

The signup fee is $17

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