SOLUTION: Find an equation of the line passing through the given points. Use function notation to write the equation. (3,5) and (9,8) f(x)=

Algebra ->  Linear-equations -> SOLUTION: Find an equation of the line passing through the given points. Use function notation to write the equation. (3,5) and (9,8) f(x)=      Log On


   



Question 132588: Find an equation of the line passing through the given points. Use function notation to write the equation.
(3,5) and (9,8) f(x)=

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
FIRST WE FIND THE SLOPE (m) (Y2-Y1)/(X2-X1):
(8-5)/(9-3)=3/6=1/2 IS THE SLOPE.
NOW WE REPLACE ONE SET OF (X,Y) VALUES IN THE LINE EQUATION [Y=mX+b] & SOLVE FOR THE Y INTERCEPT (b).
5=1/2*3+b
5=3/2+b
b=5-3/2
b=5-1.5
b=3.5 ANSWER FOR THE Y INTERCEPT.
THUS THE EQUATION FOR THIS LINE IS:
Y=X/2-3.5