SOLUTION: The question is: "Find an equation of the line that has the same y-intercept as the line x - 3y = 6 and contains the point (5, -1)."

Algebra ->  Linear-equations -> SOLUTION: The question is: "Find an equation of the line that has the same y-intercept as the line x - 3y = 6 and contains the point (5, -1)."      Log On


   

Question 124019This question is from textbook Introductory Algebra
: The question is: "Find an equation of the line that has the same y-intercept as the line x - 3y = 6 and contains the point (5, -1)." This question is from textbook Introductory Algebra

Answer by checkley71(8403) About Me  (Show Source):
You can put this solution on YOUR website!
X-3Y=6
-3Y=-X+6
Y=-X/-3+6/-3
Y=X/3-2 THIS LINE HAS A Y INTERCEPT=-2. (RED LINE)
NOW REPLACE THE X & Y VALUES IN THE STANDARD LINE EQUATION (Y=mX+b) WITH (5,-1).
5=m*-1-2
5=-m-2
m=-2-5
m=7
THUS WE HAVE THE EQUATION
Y=7X-2 (GREEN LINE)
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+x%2F3+-2%2C+y+=+7x+-2%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, of TWO functions y = x/3 -2 and y = 7x -2).