SOLUTION: The slope of a line through the origin is -2/3. Find the coordinates of the two points on the line. Thanks

Algebra ->  Linear-equations -> SOLUTION: The slope of a line through the origin is -2/3. Find the coordinates of the two points on the line. Thanks      Log On


   

Question 136147: The slope of a line through the origin is -2/3. Find the coordinates of the two points on the line. Thanks
Answer by checkley77(12844) About Me  (Show Source):
You can put this solution on YOUR website!
SLOPE=-2/3 THROUGH THE ORIGIN (0,0)
Y=-2X/3
LET X=3 & SOLVE FOR Y
Y=-2*3/3=-6/3=-2 (3,-2) ANSWER.
LET Y=6 & SOLVE FOR X
6=-2X/3
-2X=18
X=-18/2
X=-9 (-9,6) ANSWER.
+graph%28+300%2C+200%2C+-6%2C+5%2C+-10%2C+10%2C+y+=+-2x%2F3%29+ (graph 300x200 pixels, x from -6 to 5, y from -10 to 10, y = -2x/3).