Given that oa=2x+9y ob=4x+8y and cd= 4x-2y, explain the geometrical relationships between the straight lines ab and cd mathswatch answer

The geometrical relationship between the straight lines AB and CD is they are parallel to each other because their slopes are the same.

Given :

The following steps can be used to determine relationships between the straight lines AB and CD:

Step 1 - First find the relationship between OA and OB.

AB = 2x + 9y - 4x - 8y

AB = -2x + y

Step 2 - Find the slope of AB.

m = 2

Step 3 - Find the slope of CD.

m = 2

The slope of AB and CD are the same hence, they are parallel lines.

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