Verifying parallel and perpendicular lines using slope
use the diagram to answer the questions.
is line m parallel to line n? explain.
is line m perpendicular to line k? explain.

The line m and line n are not parallel to each other.

line m ⊥ line k.

Step-by-step explanation:

See the diagram attached to this question.

The points (0,-4) and (-4,3) through which line m passes.

Therefore, the slope of line m is

Now, line n passes through the points (1,2) and (3,-2).

Therefore, the slope of the line n is

Hence, the line m and line n are not parallel as their slopes are not equal. (Answer)

Again, the points (4,1) and (-3,-3) through which line k passes.

Therefore, the slope of the line k is

Hence, the product of slopes of line m and line k is .

So, line m ⊥ line k. (Answer)

{Since -1 will be the result if we multiply the slopes of two mutually perpendicular straight lines }

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step-by-step explanation:

pi x^2

step-by-step explanation:

pi times x squared