Question 523706
((x/2)-(y/3))=1 .............(1)
Multiply by 6 both sides of the equation
3x-2y=6
-2y=-3x+6
Divide by -2 both sides
-2y/-2=(-3x+6)/-2
y=3x/2-6/2
y=3x/2-3
Above equation is the equation of straight line
Slope = 3/2 and Y-intercept = -3

y=((-2x/3)+4))
y=-2x/3+4

Above equation is the equation of straight line
Slope = -2/3 and Y-intercept = 4

Graphs are perpendicular,
When two lines are perpendicular Multiplication of their slopes will result in (-1).

=Slope of line one * slope of line two
= 3/2 * -2/3
= -1


Red Line   y=3x/2-3
Green line y=-2x/3+4
{{{ graph( 500, 500, -10, 10, -10, 10, y=3x/2-3, y=-2x/3+4) }}}