For this case we find the slopes of each of the lines:
The g line passes through the following points:
So, the slope is:
Line h passes through the following points:
So, the slope is:
By definition, if two lines are parallel then their slopes are equal. If the lines are perpendicular then the product of their slopes is -1.
It is observed that lines g and h are not parallel. We verify if they are perpendicular:
Thus, the lines are perpendicular.
Answer:
The lines are perpendicular.
Simplifying
2x + -3(3 * 0.6x + 2.7)
Multiply 3 * 0.6
2x + -3(1.8x + 2.7)
Reorder the terms:
2x + -3(2.7 + 1.8x)
2x + (2.7 * -3 + 1.8x * -3)
2x + (-8.1 + -5.4x)
Reorder the terms:
-8.1 + 2x + -5.4x
Combine like terms: 2x + -5.4x = -3.4x
-8.1 + -3.4x