SOLUTION: HOW DO YOU GRAPH THE LINE THAT PASSES THROUGH THE (1,1) (3,3) AND THEN WRITE THE EQUATION OF EACH LINE?

Algebra ->  Coordinate Systems and Linear Equations  -> Lessons -> SOLUTION: HOW DO YOU GRAPH THE LINE THAT PASSES THROUGH THE (1,1) (3,3) AND THEN WRITE THE EQUATION OF EACH LINE?      Log On


   

Question 114083This question is from textbook ALGEBRA
:
HOW DO YOU GRAPH THE LINE THAT PASSES THROUGH THE (1,1) (3,3)
AND THEN WRITE THE EQUATION OF EACH LINE? This question is from textbook ALGEBRA

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST YOU NEED TO FIND THE SLOPE(m).
SLOPE=(Y2-Y1)/(X2-X1)
SLOPE=(3-1)/(3-1)=2/2=1 FOR THE VALUE OF THE SLOPE
NOW REPLACE ONE SET OF (X,Y) VALUES FOR THE X & Y IN THE STANDARD LINE FORMULA:
Y=mX+b ALONG WITH THE SLOPE(m)=1 & SOLVE FOR THE Y INTERCEPT(b)
1=1*1+b
1=1+b
b=1-1
b=0
SO WE HAVE THE LINE EQUATION:
Y=1X+0 OR Y=X
THE GRPAH OF THIS LINE FOLLOWS:
+graph%28+300%2C+300%2C+-6%2C+6%2C+-6%2C+6%2C+y+=+x%29+ (graph 300x300 pixels, x from -6 to 6, y from -6 to 6, y = x).