SOLUTION: Write an equation of the line containing the specified point and parallel to the indicatd line. (-2,-3), 2x+3y=-7 Please do this step by step, becuase I have had 3 people try an

Algebra ->  Linear-equations -> SOLUTION: Write an equation of the line containing the specified point and parallel to the indicatd line. (-2,-3), 2x+3y=-7 Please do this step by step, becuase I have had 3 people try an      Log On


   

Question 130054This question is from textbook Intermediate Algebra
:
Write an equation of the line containing the specified point and parallel to the indicatd line. (-2,-3), 2x+3y=-7
Please do this step by step, becuase I have had 3 people try and explain it to me and I still don't get it. This question is from textbook Intermediate Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
2X+3Y=-7
3Y=-2X-7
Y=-2X/3-7/3 (RED LINE)
FOR A LINE TO BE PARALLEL TO THIS LINE IT HAS TO HAVE THE SAME SLOPE(-2/3) AS THIS LINE:
-3=-2/3*-2+b
-3=4/3+b
b=-3-4/3
b=(-9-4)/3
b=-13/3
Y=-2X/3-13/3(GREEN LINE)
THUS WE HAVE THE PARALLEL LINE WITH A SLOPE(-2/3) PASSING THROUGH (-2,-3) IS:
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+-2x%2F3+-7%2F3%2C-2x%2F3+-13%2F3+%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions -2x/3 -7/3 and -2x/3 -13/3)