SOLUTION: Find an equation of the line containing the given pair of points. (-2,-6) and (-7,-9) THe equation of the line is y= ______

Algebra ->  Algebra  -> Systems-of-equations -> SOLUTION: Find an equation of the line containing the given pair of points. (-2,-6) and (-7,-9) THe equation of the line is y= ______      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 160009: Find an equation of the line containing the given pair of points.
(-2,-6) and (-7,-9)
THe equation of the line is y= ______
Answer by KnightOwlTutor(293) About Me  (Show Source):
You can put this solution on YOUR website!
You first need to determine the slope of the line m
This is equal to m=y2-y1/x2-x1 rise/run -9-(-6)/-7-(-2)=-3/-5 3/5
y=3/5x+b
Plug in one of the points to determine b=constant
-9=3/5(-7)+b
b=-24/5
The equation is y=3/5X-24/5
To double check the answer plug in the x and y values of the second point
-6=-2(3/5)-24/5