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Chapter 14: Q31. (page 581)

A line with equation y=x+5 is reflected in the x-axis. Find an equation of the image line.

Short Answer

Expert verified

The image line of the given equation is obtained as,

y=-x-5

Step by step solution

01

Step 1. Given Information.

The given equation is y=x+5

02

Step 2. Concept Used.

When the equation is reflected about the x-axis x,y becomes x,-y.

03

Step 3. Calculation.

The image line of the given equation can be obtained as,

Replacing y with -y in the given equation.

鈭�y=x+5y=鈭�x鈭�5

04

Step 4. Conclusion.

Therefore, the image line of the given equation is obtained as,

y=-x-5

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