Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −6?

drag each choice into the boxes to correctly complete the table.

we have

the slope of the given line is

we know that

If two lines are parallel , then their slopes are the same

so

if two lines are perpendicular, then the product of their slopes is equal to minus one

so

we will proceed to verify each case to determine the solution

case A) line m with slope

Compare the slope of the line m of the case A) with the slope of the given line

 -----> slope given line

----> slope line m case A)

therefore

the line m case A) and the given line are neither parallel nor perpendicular

case B) line n with slope

Compare the slope of the line n of the case B) with the slope of the given line

 -----> slope given line

----> slope line n case B)

------> the lines are parallel

case C) line p with slope

Compare the slope of the line p of the case C) with the slope of the given line

 -----> slope given line

----> slope line p case C)

------> the lines are perpendicular

case D) line q with slope

Compare the slope of the line q of the case D) with the slope of the given line

 -----> slope given line

----> slope line q case D)

therefore

the line q case D) and the given line are neither parallel nor perpendicular

the answer in the attached figure

explanation:

step-by-step explanation: