SOLUTION: Write the equation of the line with x-intercept (12, 0) and y-intercept (0, 4). i'm a little confused and could use some help

Algebra ->  Graphs -> SOLUTION: Write the equation of the line with x-intercept (12, 0) and y-intercept (0, 4). i'm a little confused and could use some help      Log On


   



Question 121674: Write the equation of the line with x-intercept (12, 0) and y-intercept (0, 4).
i'm a little confused and could use some help

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST WE FIND THE SLOPE (Y2-Y1)/(X2-X1)=(4-0)/(0-12)=4/-12=-1/3
NOW WE USE ONE SET OF X,Y VALUES IN THE LINE EQUATION [Y=mX+b] & SOLVE FOR b
0=-1/3*12+b
0=-4+b
b=4 FOR THE Y INTERCEPT.
THUS THE LINE EQUATION IS:
Y=-X/3+4
+graph%28+300%2C+200%2C+-6%2C+15%2C+-10%2C+10%2C+y+=+-x%2F3+%2B4%29+ (graph 300x200 pixels, x from -6 to 15, y from -10 to 10, y = -x/3 +4).