How do you write #y-9=-6(x+9)# in standard form?

1 Answer
smendyka
Feb 15, 2017

#color(red)(6)x + color(blue)(1)y = color(green)(-45)#

Explanation:

The standard form of a linear equation is: #color(red)(A)x + color(blue)(B)y = color(green)(C)#

where, if at all possible, #color(red)(A)#, #color(blue)(B)#, and #color(green)(C)#are integers, and A is non-negative, and, A, B, and C have no common factors other than 1

We can transform this equation as follows:

#y - 9 = (-6 xx x) - (6 xx 9)#

#y - 9 = -6x - 54#

#color(red)(6x) + y - 9 + color(blue)(9) = color(red)(6x) + - 6x - 54 + color(blue)(9)#

#6x + y - 0 = 0 - 45#

#color(red)(6)x + color(blue)(1)y = color(green)(-45)#

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