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Chapter 4: Q. 642 (page 571)

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

4x-3y=-1;y=43x-3

Short Answer

Expert verified

The lines are parallel.

Step by step solution

01

Step 1. Given Information

The given equation of lines are,

4x-3y=-1y=43x-3

02

Step 2. Calculating the slope and intercept for one line

The equation can be written as,

4x-3y=-1-3y=-4x-13y=4x+1y=4x+13y=43x+13Slope=43Intercept=13

03

Step 3. Calculating the slope and intercept for other line 

The equation can be written as,

y=43x-3Slope=43Intercept=-3

04

Step 4. Conclusion

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

Therefore, both the lines are parallel.

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