Answer:
[tex]y=14.5x+5[/tex]
Step-by-step explanation:
Let
x ----> the number of tickets
y ----> the price of tickets
we have the ordered pairs
(4,63) and (6,92)
step 1
Find the slope of the linear equation
The formula to calculate the slope between two points is equal to
[tex]m=\frac{y2-y1}{x2-x1}[/tex]
substitute the values
[tex]m=\frac{92-63}{6-4}[/tex]
[tex]m=\frac{29}{2}=\$14.5\ per\ ticket[/tex]
step 2
Find the y-intercept or initial value of the linear equation
we know that
The linear equation in slope intercept form is equal to
[tex]y=mx+b[/tex]
where
m is the slope b is the y-intercept
we have
[tex]m=14.5[/tex]
[tex]point\ (4,63)[/tex]
substitute
[tex]63=14.5(4)+b[/tex]
solve for b
[tex]b=63-14.5(4)[/tex]
[tex]b=\$5[/tex]
In this context the y-intercept is a one charge fee for the ticket service
The equation is equal to
[tex]y=14.5x+5[/tex]
