MATH SOLVE

5 months ago

Q:
# Use the diagram that awnser the questions. Is line m parallel to line n? Explain Is line m perpendicular to line k? Explain

Accepted Solution

A:

Part A

The first thing we must do in this case is to hide the slopes of each line.

line m:

m = (- 4-3) / (0 - (- 4))

m = -7 / 4

Line n:

n = (- 2-2) / (3-1)

n = -4 / 2

n = -2

Answer:

Lines m and n are not parallel because their slopes are different.

Part B:

We look for the slope of the K line:

k = (1 - (- 3)) / (4 - (- 3))

k = 4/7

We observe that it is true that:

k = -1 / m

Answer:

The lines are perpendicular.

The first thing we must do in this case is to hide the slopes of each line.

line m:

m = (- 4-3) / (0 - (- 4))

m = -7 / 4

Line n:

n = (- 2-2) / (3-1)

n = -4 / 2

n = -2

Answer:

Lines m and n are not parallel because their slopes are different.

Part B:

We look for the slope of the K line:

k = (1 - (- 3)) / (4 - (- 3))

k = 4/7

We observe that it is true that:

k = -1 / m

Answer:

The lines are perpendicular.