SOLUTION: Determine an equation in the form y=mx+b of a line satisfying the given condition: throught the points (5,-1) and (3,0)

Algebra ->  Linear-equations -> SOLUTION: Determine an equation in the form y=mx+b of a line satisfying the given condition: throught the points (5,-1) and (3,0)      Log On


   



Question 95286: Determine an equation in the form y=mx+b of a line satisfying the given condition:
throught the points (5,-1) and (3,0)

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
Y=mX+b
m=THE SLOPE (Y2-Y1)/(X2-X1)=(0+1)/(3-5)=1/-2=-1/2 OR -.5IS THE SLOPE.
NOW SUBSTITUTE ONE SET OF X,Y POINTS IN THE LINE EQUATION WITH A SLOPE OF -1/2 & SOLVE FOR THE Y INTERCEPT (b).
-1=-.5*5+b
-1=-2.5+b
b=-1+2.5
b=1.5 THE Y INTERCEPT.
THUS THE EQUATION FOR THIS LINE IS:
Y=-.5X+1.5