Question

A computer technician charges a flat rate for home vist plus $55 per hour. The technician bills $190 for a 2-hour home vist to install a new hard drive. The equation y-190=55(x-2) gives the total amount y the technician charges for x hour of work. What is the equation in slope-intercept form?

Answer 1

y - 190 = 55(x - 2)....distribute thru the parenthesis
y - 190 = 55x - 110....now add 190 to both sides
y = 55x - 110 + 190..simplify
y = 55x + 80 <== slope intercept form (y = mx + b)

Answer 2

The equation in slope-intercept form will be:
`y=55x+80`

Explanation:

The given equation is:
`y-190=55(x-2)`

The standard slope-intercept form is
`y=mx+b`

Simplifying the given equation..........

`y-190=55(x-2)\\ \\ y-190=55x-110\ \ \ [using\ distributive\ property\ in\ right\ side]\\ \\ y-190+190=55x-110+190 \ \ \ [adding\ 190\ both\ sides]\\ \\ y=55x+80\ \ \ [combining\ like\ terms]`

This equation is in form of
`y=mx+b`

So, the equation in slope-intercept form will be:
`y=55x+80`