Question

A public parking garage charges $5 plus and additional $2 per hour

what’s an equation for the line in slope intercept form

Answer 1

Answer:
`y=2x+5`

Explanation:

Let x denotes the number of hours.

Given : A public parking garage charges $5 plus and additional $2 per hour.

i.e. Fixed Charge = $5

Rate per hour = $2

Now, the Total charge = Rate per hour x No. of hours +Fixed Charge

`=2x+5` (dollars)

Let y denotes the total charge.

Then, the equation becomes :

`y=2x+5` (1)

Equation of a line in slope-intercept form :
`y=mx+c` (2)

, where m= slope (rate of change of y w.r.t x)

and c= y-intercept (Initial value)

When we compare equation (1) to equation (2), we see that equation (1) is in slope-intercept form.

Thus, the required equation for the line in slope intercept form :

`y=2x+5`

Answer 2

Okay so slope intercept form is y=mx+b
Where b is the y intercept, m is the slope and x is the changing variable. So in this case let x represent the number of hours and m equal the cost per hour $2. That leaves $5 as the y intercept. So your equation is y=2x+5