Question

is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is 25?

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

Answer 1

Answer: Parallel line= line p, with slope 2/5

Perpendicular line= line n, with slope -5/2

Neither parallel nor perpendicular lines= line m, with slope 5/2 & line q, with slope -2/5.

Step-by-step explanation:

Condition for parallel lines:

The slope of lines should be equal.

The given line has a slope equal to 2/5.

So, only line p would be parallel because it has the same slope equal to 2/5.

Condition for perpendicular lines:

The product of the slope of lines should be equal to -1.

So, only line n would be perpendicular because it has a slope equal to -5/2 and the product of slope of this line and the given line is -1.

Condition for neither parallel nor perpendicular:

If either of the two conditions given above does not satisfy, it means the lines are neither parallel nor perpendicular.

So, line m and line q both the lines are neither parallel nor perpendicular because they do not satisfy the two conditions given above.