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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?

Respuesta :

texaschic101
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:

The equation in slope-intercept form will be:  [tex]y=55x+80[/tex]

Step-by-step explanation:

The given equation is:   [tex]y-190=55(x-2)[/tex]

The standard slope-intercept form is  [tex]y=mx+b[/tex]

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

[tex]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][/tex]

This equation is in form of [tex]y=mx+b[/tex]

So, the equation in slope-intercept form will be:  [tex]y=55x+80[/tex]

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