Question

Is each line parallel, perpendicular, or neither parallel nor perpendicular to a line whose slope is −34? Drag each choice into the boxes to correctly complete the table.

Parallel / Perpendicular / Neither


Line M, with slope 3/4
Line N, with slope 4/3
Line P, with slope -4/3
Line Q, with slope -3/4

Answer 1

Explanation:

Given that a line is having slope equal to
`(-3)/(4)`

By parallel lines concept we know that any line parallel to the given line will have the same slope as
`(-3)/(4)`

Also perpendicular lines will satisfy m1 m2 = -1 where m1 and m2 are two slopes.

Hence here perpendicular line will have slope as

`(-1)/((-3)/(4) ) \\=(4)/(3)`

From the given 4 lines we find that

Line M = neither

Line N = perpendicular

Line P = neither

Line Q = parallel

Answer 2

Line M - neither

Line N - perpendicular

Line P - neither

Line Q - parallel

Explanation:

A line that is perpendicular will aways have and opposite slope, e.g. -3/4, opposite, 4/3.

A line that is parallel will always have the exact same slope, e.g. -3/4, same, -3/4.