How do you write the equation in slope intercept form #y-3=2(x-6)#?

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Answer 1 · 2017-07-29T22:07:24

See a solution process below:

The slope-intercept form of a linear equation is: #y = color(red)(m)x + color(blue)(b)#

Where #color(red)(m)# is the slope and #color(blue)(b)# is the y-intercept value.

We need to solve this equation for #y#:

#y - 3 = color(red)(2)(x - 6)#

#y - 3 = (color(red)(2) xx x) - (color(red)(2) xx 6)#

#y - 3 = 2x - 12#

#y - 3 + color(red)(3) = 2x - 12 + color(red)(3)#

#y - 0 = 2x - 9#

#y = color(red)(2)x - color(blue)(9)#