Question

Given the lines AB and CD, determine the slope of line CD.

Answer 1

1- If the coordinates of C and D are given:

If the coordinates of C and D are given as:

C = (x₁,y₁)

D = (x₂,y₂)

We can simply get the slope using the following formula:

slope =

2- If the coordinates of A and B are given along with a relation between the two lines:

a- We will get the slope of AB using the formula above

b- If we are given that AB is parallel to CD, then:

slope of CD = slope of AB

c- If we are given that AB is perpendicular to CD, then:

slope of CD = 1 / (slope of AB)

Step-by-step explanation: Hope it helps and have a good day :)

Answer 2

You have not provided the coordinates, therefore, I can only help you with the concepts.

1- If the coordinates of C and D are given:
If the coordinates of C and D are given as:
C = (x₁,y₁)
D = (x₂,y₂)
We can simply get the slope using the following formula:
slope =
`( y_(2)- y_(1) )/( x_(2) - x_(1) )`

2- If the coordinates of A and B are given along with a relation between the two lines:
a- We will get the slope of AB using the formula above
b- If we are given that AB is parallel to CD, then:
slope of CD = slope of AB
c- If we are given that AB is perpendicular to CD, then:
slope of CD = 1 / (slope of AB)

Hope this helps :)