Answer:
1 is parallel to 3. 1 is perpendicular to 2. 2 is perpendicular to 3.
Step-by-step explanation:
The slope of line 1 is 5/3. This is because it is the m term from the equation y=mx+b.
The slope of line 2 is -3/5. You would have to solve the equation in the following format.
[tex]6x+10y-6x=-4-6x[/tex]
[tex]\frac{10y}{10}=\frac{-4-6x}{10}[/tex]
Which simplifies to y=-2/5 - 3/5x, making -3/5 the slope.
The slope of line 3 is 5/3, which can be found by dividing both sides of the equation by 3.
Parallel lines have exactly the same slope. So lines 1 and 3 are parallel.
Perpendicular lines have opposite reciprocal slopes. So lines 1 and 2, and 2 and 3 are both perpendicular.
