How do you write #y-2= 3( x - 4)# in slope-intercept form?

1 Answer
smendyka
May 19, 2017

See a solution process below:

Explanation:

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.

First, expand the term in parenthesis on the right side of the equation by multiplying each term within the parenthesis by the term outside the parenthesis:

#y - 2 = color(red)(3)(x - 4)#

#y - 2 = (color(red)(3) xx x) - (color(red)(3) xx 4)#

#y - 2 = 3x - 12#

Now, add #color(red)(2)# to each side of the equation to solve for #y# while keeping the equation balanced:

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

#y - 0 = 3x - 10#

#y = color(red)(3)x - color(blue)(10)#

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