Question

The distance between the parallel lines x – 2y = 3 and 2x – 4y = 12 is

Answer 1

Given :

Parallel lines are

x – 2y = 3 and 2x – 4y = 12

Step-by-step explanation:

Lets write the given lines in slope intercept form y=mx+b

$x -2y = 3 \\-2y=-x+3\\Divide \; both \; sides \; by -2\\y=\frac{x}{2} -\frac{3}{2}$

From the above equation , y intercept of first line is $\frac{-3}{2}$

Solve the second equation for y and find out y intercept

$2x-4y=12\\-4y=-2x+12\\Divide \; by \; -4\\y=\frac{1}{2} x-3$

y intercept of second line is -3

To find the distance between parallel lines, we subtract the y intercepts

$\frac{-3}{2} -(-3)=\frac{-3}{2} +\frac{6}{2} =\frac{3}{2} =1.5$

Answer:

The distance between the parallel lines = 1.5

Reference:

brainly.com/question/24145911

Answer 2

Answer:

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Step-by-step explanation:

sorry di ko po alam yung sagot pasensiya na po