Question 94073
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.