Answer:
to determine whether the equation of the line parallel or perpendicular.we have to find there slope.
Step-by-step explanation:
- 2x+3y=15
3y=15-2x
y=15/3 -2x/3
y=5-2x/3
y=-2x/3 +5
- so the cooficient tell us the slope of the line so it is -2/3
4x+6y=-48
6y=-48-4x
y=-4x/6 -48/6
y=-4x/6 -8
- so the slope of this line is -4/6
now to say two lines are parallel there slope should be the same
-2/3 ≠ -4/6
to say two line are perpendicular with one another the product of there slope should be -1
-2/3 * -4/6
=8/18
=4/9 which is different from -1
- they are neither parallel nor perpendicular.
