SOLUTION: Find an equation of the line containing the given pair of points. (-5, -9) and (-3, -2) Help me please.

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: Find an equation of the line containing the given pair of points. (-5, -9) and (-3, -2) Help me please.      Log On


   

Question 136854: Find an equation of the line containing the given pair of points.
(-5, -9) and (-3, -2)
Help me please.
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
(-5, -9) and (-3, -2)
THE EQUATION OF THE LINE THROUGH THESE 2 POINTS IS:
Y=mX+b WHERE m=SLOPE & b=Y INTERCEPT.
FIRST WE FIND THE SLOPE:
SLOPE=(Y2-Y1)/(X2-X1)
SLOPE=(-2+9)/(-3+5)
SLOPE=7/2
NOW REPLACE THE X & Y TERMS BY ONE SET OF VALUES & SOLVE FOR b
-9=7/2*-5+b
-9=-35/2+b
b=-9+35/2
b=-9+17.5
b=8.5 ANSWER FOR THE Y INTERCEPT.
Y=7X/2+8.5 IS THIS LINE EQUATION THROUGH THE POINTS (-5,-9) & (-3,-2).
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+20%2C+7x%2F2+%2B8.5%29 (graph 300x200 pixels, x from -6 to 5, y from -10 to 20, 7x/2 +8.5).