What is the difference between the lines 2x+y=2 and 6x+3y=-6 ?

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A4/√5

B4/3

C√5/4

D4/25

Answer:

$2x+y = 2$

$Slope =\frac{ - coefficient of x}{ coefficient of y}$

$\frac{ -2}{1} = -2$

$6x+3y = -6$

$slope = \frac{-6}{3} = -2$

M₁ = M₂

lines are parellel

$d=\frac{|c_1-c_2|}{\sqrt{a^2+b^2}}$

$2x+y-2=0--(1)$

$6x+3y+6=0--(2)$

$(1)\times3 = 6x+3y-6=0 -- (3)$

$d=\frac{|c_1-c_2|}{\sqrt{a^2+b^2}}=\frac{6--6}{\sqrt{36+9}}$

$d=\frac{12}{\sqrt45}$

$d=\frac{12}{\sqrt{9 \times 5}}$

$d=\frac{12}{3\sqrt5}$

$d=\frac{4}{\sqrt5}$

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