SOLUTION: Identify the slope, m, and the y-intercept, b, for each line. x + y = 6

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Question 94073This question is from textbook Algebra 2
: Identify the slope, m, and the y-intercept, b, for each line.
x + y = 6
This question is from textbook Algebra 2

Answer by praseenakos@yahoo.com(507) About Me  (Show Source):
You can put this solution on YOUR website!
Question:

Identify the slope, m, and the y-intercept, b, for each line.
x + y = 6
Answer:

The standard slope intercept form of an equation is given by,

y = mx + b, where m is the slope and b is the y-intercept.

So rewrite the given equation in the standard form.....


x + y = 6

subtract x from both sides...


==> x + y - x = 6 - x


==> y = 6 - x


which can be written as,(by rearranging terms)

y = -x + 6

or y = -1x + 6


Compare this equation with the standard equation....


them you have,
m = -1 and b = 6


That is, slope = -1 and y-intercept = 6


Hope you found the explanation useful.


Regards.

Praseena.