The Augello family is driving from Columbus to St. Louis at a constant rate of 65 miles per hour. The distance between the two cities is 420 miles. Write an equation in slope-intercept form to represent the distance y in miles remaining after driving x hours.

The equation in slope intercept form is

A linear function is a function whose value changes at a constant rate.

The given parameters are:

A linear function is represented as:

Where

So, the function becomes

Hence, the equation in slope intercept form is

Read more about linear functions at:

link

Step-by-step explanation:

Slope-intercept form equation is given as

Where,

y = distance remaining

x = hours driven

m = slope/constant rate. In this case, the value of m would be -65. This means the distance will reduce at a constant rate of 65 miles per hour.

b = y-intercept, which is the initial value or the distance between the cities = 420

Plug in the values into the slope-intercept equation, to represent the distance y in miles remaining after driving x hours. You would have:

first one because it can't have a fraction in it

step-by-step explanation: