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.

Answer:The signup fee is $17Step-by-step explanation:we know thatThe equation in point slope form is equal to[tex]y-y1=m(x-x1)[/tex]where m is the slope or unit rate of the linear equation(x1,y1) is a ordered pair of the lineLetx -----> the number of monthsy -----> the total cost of a gym membershipIn this problem we haveThe slope of unit rate is equal to[tex]m=\$13\ per\ month[/tex]The ordered pair is[tex](x1,y1)=(4,69)[/tex]substitute[tex]y-69=13(x-4)[/tex] ----> equation in point slope formConvert to slope intercept form[tex]y-69=13x-52[/tex] [tex]y=13x-52+69[/tex] [tex]y=13x+17[/tex] ---> equation in slope intercept formThe y-intercept is the signup fee (value of y when the value of x is equal to zero)thereforeThe signup fee is $17