How do you write the equation #y-1=-7(x-3)# in slope intercept form?

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Answer 1 · 2017-02-26T14:22:00

#y = color(red)(-7)x + color(blue)(22)#

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 solve for #y# as follows:

#y - 1 = -7(x - 3)#

#y - 1 = (-7 xx x) - (-7 xx 3)#

#y - 1 = -7x - (-21)#

#y - 1 = -7x + 21#

#y - 1 + color(red)(1) = -7x + 21 + color(red)(1)#

#y - 0 = -7x + 22#

#y = color(red)(-7)x + color(blue)(22)#