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Question
Find the equation of a line passing through (2,9) and parallel to the line 3x + 4y = 11
Solution
3x + 4y = 11
4y = -3x + 11
y = `(-3)/4"x" + 11/4`
m = `(-3)/4`
Equation of line, `("y" - "y"_1)/("x" - "x"_1)` = m
`("y" - 9)/("x" - 2) = (-3)/4`
4y - 36 = -3x + 6
3x + 4y = 42
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