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In this lesson, we will learn how to find the distance between any two parallel lines in the coordinate plane given their equations.

Q1:

What is the distance between the parallel lines π₯ β 6 π¦ + 1 1 = 0 and π₯ β 6 π¦ + 2 2 = 0 ?

Q2:

What is the distance between the parallel lines 2 π₯ + 7 π¦ β 2 2 = 0 and 2 π₯ + 7 π¦ + 4 4 = 0 ?

Q3:

What is the distance between the parallel lines 3 π₯ + 4 π¦ + 1 1 = 0 and 3 π₯ + 4 π¦ β 2 2 = 0 ?

Q4:

What is the distance between the parallel lines π₯ β 3 π¦ β 1 0 = 0 and π₯ β 3 π¦ β 2 0 = 0 ?

Q5:

What is the distance between the parallel lines π₯ β 2 π¦ β 2 = 0 and π₯ β 2 π¦ + 6 = 0 ?

Q6:

What is the distance between the parallel lines 8 π₯ + 5 π¦ + 9 = 0 and 8 π₯ + 5 π¦ + 1 8 = 0 ?

Q7:

What is the distance between the parallel lines 4 π₯ + 3 π¦ + 5 = 0 and 4 π₯ + 3 π¦ β 1 5 = 0 ?

Q8:

What is the distance between the parallel lines β 3 π₯ β π¦ + 5 = 0 and ( β 8 , β 7 ) + π ( β 8 , 2 4 ) ?

Q9:

Find, to the nearest hundredth, the distance between the parallel lines πΏ βΆ π₯ + 7 9 = π¦ + 1 5 = π§ β 7 β 6 1 and πΏ βΆ π₯ + 3 9 = π¦ + 1 0 5 = π§ + 1 0 β 6 2 .

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