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Find the distance between the parallel lines 2x+4y=8 and 3x+6y=18

User Shakim
by
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1 Answer

6 votes

Answer:

one unit

Explanation:

the best way to visual this is to convert the standard form equations into slope form (y = mx + b), and compare the y-intercepts

2x + 4y = 8

4y = -2x + 8

y = (-2/4)x + 2

y = (-1/2)x + 2

3x + 6y = 18

6y = -3x + 18

y = (-3/6)x + 3

y = (-1/2)x + 3

since 2 and 3 are only one unit away, the distance is one unit.

User Muzaffar
by
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