SOLUTION: Line segment AB has a slope of -2/3. if the coordinates of point B are (3,-6), then the coordinates of point A ?

Algebra ->  Coordinate-system -> SOLUTION: Line segment AB has a slope of -2/3. if the coordinates of point B are (3,-6), then the coordinates of point A ?      Log On


   

Question 946044: Line segment AB has a slope of -2/3. if the coordinates of point B are (3,-6), then the coordinates of point A ?
Found 2 solutions by josgarithmetic, MathTherapy:
Answer by josgarithmetic(39618) About Me  (Show Source):
You can put this solution on YOUR website!
Point A coordinates can be any point on the line AB. Determine the line. Any point (x, y) will be on the line if x and y satisfy the equation.

Line AB using point-slope form,
y%2B6=%28-2%2F3%29%28x-3%29
continuing,
y=-%282%2F3%29x%2B2-6
highlight_green%28y=-%282%2F3%29x-4%29

The point A is not too specified. The point A is any of (x, -(2/3)x-4).

Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Line segment AB has a slope of -2/3. if the coordinates of point B are (3,-6), then the coordinates of point A ?
Point A’s coordinates: (6, - 8), or (0, - 4)