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Chapter 14: Q30. (page 581)

A line with equation y=2x+3 is reflected in the y-axis. Find an equation of the image line.

Short Answer

Expert verified

The image line of the given equation is obtained as,

y=-2x+3

Step by step solution

01

Step 1. Given Information.

The given equation is y=2x+3.

02

Step 1. Concept Used.

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

03

Step 3. Calculation.

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

Replacing x with -x in the given equation.

y=2鈰�(鈭�x)+3y=鈭�2x+3

04

Step 4. Conclusion.

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

y=2x+3

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