What is the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6

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asked Apr 20, 2018 106k views

1 Answer

Zydnar · Answer 1 · 2018-04-24T01:28:36+0000

3x-2y=-6
2y = 3x + 6
y = 3/2x + 3 so slope = 3/2
parallel lines have same slope, also has slope = 3/2

passes through (4,2)
y = mx + b
2 = 3/2(4) + b
2 = 6 + b
b = -4

equation
y = 3/2x - 4

standard form
3x - 2y = 8

What is the equation of the line that passes through (4,2) and is parallel to 3x-2y=-6

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