SOLUTION: find the slope and the y-intercept of the graph of the linear equation? y = -3x + 2 please explain and show graph in simple terms so I can learn this. I am really confused!

Algebra ->  Linear-equations -> SOLUTION: find the slope and the y-intercept of the graph of the linear equation? y = -3x + 2 please explain and show graph in simple terms so I can learn this. I am really confused!       Log On


   

Question 1049171: find the slope and the y-intercept of the graph of the linear equation?
y = -3x + 2
please explain and show graph in simple terms so I can learn this. I am really confused!
Thanks
Answer by josmiceli(19441) About Me  (Show Source):
You can put this solution on YOUR website!
Okey-dokey
+y+=+-3x+%2B+2+
This equation is in the slope-intercept form,
which means it looks like:
+y+=+m%2Ax+%2B+b+
+m+ = slope
+b+ = y-intercept
----------------------
So you can read the slope and y-intercept
right off the equation
+-3+ = slope
+2+ = y-intercept
---------------------
If this equation was in the so-called standard form,
+a%2Ax+%2B+b%2Ay+=+c+, then you would have to get it
into the slope-intercept form.
( note that a's and b's are general and don't
actually transfer between the 2 forms )
---------------------------------------------
The thing to remember about slope is:
Positive slope is:
from the LOWER left to the UPPER right
Negative slope is:
from the UPPER left to the LOWER right
----------------------------------------
Here's the graph, and note the definition of slope
and the y-intercept at ( 0,2 )
+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+-3x+%2B+2+%29+
-----------------------------------------------
If I change the equation to:
+y+=+3x+%2B+2+ ( positive slope ), then the graph is:
+graph%28+400%2C+400%2C+-6%2C+6%2C+-6%2C+6%2C+3x+%2B+2+%29+
Hope this helps