Answer:
1. -1/2
2. -2/3
4. 0
5. -3/4
Explanation:
Parallel lines have the same slope. To find the slope from the equation, use the form y=mx +b by finding m.
1. y= -1/2x - 1 has m=-1/2. This is the same slope for the parallel line.
2. y = -2/3x -1 has m = -2/3. This is the same slope for the parallel line.
4. y = 6 is a line through the y-intercept 6 on the y-axis. Because this is a horizontal line, the slope is 0. A parallel line will have 0 as the slope too.
5. 3x + 4y = 12 needs to be converted to y =mx+b.
4y = -3x +12
y= -3/4 x + 3
The slope is -3/4 so the parallel line will have the same slope.