How do you write the equation #y-2=3(x-1)# in slope intercept form?

Answer 1

Genesis Allen

#y = 3x - 1#

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, we need to expand the parenthesis on the right:

#y - 2 = (3 xx x) - (3 xx 1)#

#y - 2 = 3x - 3#

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 - 3 + color(red)(2)#

#y - 0 = 3x - 1#

#y = color(red)(3)x - color(blue)(1)#

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Answer 2

Nathan Axel

To write the equation ( y - 2 = 3(x - 1) ) in slope-intercept form, distribute ( 3 ) into ( x - 1 ) to get ( 3x - 3 ), then add ( 2 ) to both sides to isolate ( y ), resulting in ( y = 3x - 1 ). Therefore, the equation in slope-intercept form is ( y = 3x - 1 ).

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.