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Chapter 4: Q. 644 (page 571)

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

y=5x-1;10x+2y=0

Short Answer

Expert verified

The lines are not perpendicular.

Step by step solution

01

Step 1. Given Information 

The given equation of lines are,

y=5x-110x+2y=0

02

Step 2. Calculating the slope and intercept for one line

The equation can be written as,

y=5x-1Slope=5Intercept=-1

03

Step 3. Calculating the slope and intercept for other line  

The equation can be written as,

10x+2y=02y=-10xy=-5xSlope=-5Intercept=0

04

Step 4. Conclusion 

We observe that,

m1路m2=5(-5)=-25鈮�1

Hence, the lines are not perpendicular.

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