Answer:
a and b) Neither of the equation pairs are parallel or perpendicular.
c) The slope of the parallel line will be -8
Explanation:
If two lines are parallel, they will have the same slope. Example: slopes of 4 and 4. These lines are parallel.
If two lines are perpendicular, the will have slopes that are the negative invers of each other. Example: 5 and -(1/5). These are the negative inverse of each other. These lines are perpendicular.
Problems
The equations seem garbled as written (they aren't all paired).. I've split them into the following pairs
a) y=3x−7 and 3x+6y=1
Rearrange the second into slope-intercept form:
3x+6y=1
6y = -3x + 1
y = -(1/2)x + (1/6)
The other line is y = 3x-7.
The slopes are -(1/2) and 3. They are neither parallel nor perpendicular.
b) 3y+9x+15=0 and 6x+3y=2
3y=-9x-15 3y = -6x + 2
y = -3x -5 y = -2x + (2/3)
The slopes are -(6) and -2. They are neither parallel nor perpendicular.
c) If the slope of a line is −8, what is the slope of a parallel line?
The parallel line will also have slope of -8.