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Chapter 4: Q. 643 (page 571)

In the following exercises, use slopes and y-intercepts to determine if the lines are parallel.

2x-y=8;x-2y=4

Short Answer

Expert verified

The lines are not parallel.

Step by step solution

01

Step 1. Given Information 

The given equation of lines are,

2x-y=8x-2y=4

02

Step 2. Calculating the slope and intercept for one line

The equation can be written as,

2x-y=8y=2x-8Slope=2Intercept=-8

03

Step 3. Calculating the slope and intercept for other line  

The equation can be written as,

x-2y=42y=x-4y=12x-2Slope=12Intercept=-2

04

Step 4. Conclusion 

We can observe that the given lines have the different slope and different -intercepts.

Therefore, both the lines are not parallel.

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