Chapter 14: Q30. (page 581)

A line with equation $y = 2 x + 3$ 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,

$y = - 2 x + 3$

Step by step solution

Step 1. Given Information.

The given equation is $y = 2 x + 3$ .

Step 1. Concept Used.

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

Step 3. Calculation.

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

Replacing x with $- x$ in the given equation.

$\begin{array}{l} y = 2 \cdot (- x) + 3 \\ y = - 2 x + 3 \end{array}$

Step 4. Conclusion.

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

$y = 2 x + 3$

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 1. Concept Used.

Step 3. Calculation.

Step 4. Conclusion.

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

Short Answer

Step by step solution

Step 1. Given Information.

Step 1. Concept Used.

Step 3. Calculation.

Step 4. Conclusion.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Pure Maths

Geometry

Logic and Functions

Theoretical and Mathematical Physics

Mechanics Maths

Study anywhere. Anytime. Across all devices.

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