Question

Please help me if you can ‼️

Answer 1

Answer:

$y=14.5x+5$

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

$m=\frac{y2-y1}{x2-x1}$

substitute the values

$m=\frac{92-63}{6-4}$

$m=\frac{29}{2}=\ 14.5\ per\ ticket$

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

$y=mx+b$

where

m is the slope b is the y-intercept

we have

$m=14.5$

$point\ (4,63)$

substitute

$63=14.5(4)+b$

solve for b

$b=63-14.5(4)$

$b=\ 5$

In this context the y-intercept is a one charge fee for the ticket service

The equation is equal to

$y=14.5x+5$