Question

x - 2y = 4 , 2x - 4y = 12. What is the graphical interpretation of these lines?



Parallel lines

Coincident lines

Intersecting lines

None of these
​

Answer 1

Answer:

parallel lines.this is your answer

Answer 2

*Answer:—

• Parallel Lines

*Step by Step explanation:—

The two linear equation in two variable are

→ x - 2 y=4

→ 2x - 4 y=12

So, if two lines are parallel then their slopes are equal

And , if they are coincident , Line 1= K × Line 2 , or Line 2= P × Line 1, where P and K are any real number.

But if you will observe the two lines

2×Line 1= 2 x - 4 y-8≠Line 1=2 x - 4 y-12

So, these two lines are not coincident.

Now, Line 1 can be written as, 2 y= x -4

Line , 2 can be written as

4 y=2 x -12

Comparing with slope intercept form of line, y= m x + c

• → Slope of line 1
• → Slope of line 2

→ As, slopes are equal. So, these two lines are Parallel.Also,

→Coefficient of x of line 2 = 2 × Coefficient of x of line 1

→Coefficient of y of line 2=2× Coefficient of y of line 2

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