Question: If the line 5x - 2y + 10 = 0 is reflected about the x-axis, what is the new equation?
Options:
5x + 2y + 10 = 0
5x - 2y - 10 = 0
5x + 2y - 10 = 0
5x - 2y + 10 = 0
Correct Answer: 5x + 2y + 10 = 0
Solution:
Reflecting about the x-axis changes the sign of y-coefficient: 5x + 2y + 10 = 0.
If the line 5x - 2y + 10 = 0 is reflected about the x-axis, what is the new equa
Practice Questions
Q1
If the line 5x - 2y + 10 = 0 is reflected about the x-axis, what is the new equation?
5x + 2y + 10 = 0
5x - 2y - 10 = 0
5x + 2y - 10 = 0
5x - 2y + 10 = 0
Questions & Step-by-Step Solutions
If the line 5x - 2y + 10 = 0 is reflected about the x-axis, what is the new equation?
Correct Answer: 5x + 2y + 10 = 0
Step 1: Start with the original equation of the line: 5x - 2y + 10 = 0.
Step 2: Identify the coefficient of y in the equation, which is -2.
Step 3: To reflect the line about the x-axis, we need to change the sign of the y-coefficient. So, -2 becomes +2.
Step 4: Rewrite the equation with the new y-coefficient: 5x + 2y + 10 = 0.
Step 5: This is the new equation after reflecting about the x-axis.
Reflection of Lines – Understanding how reflecting a line about the x-axis affects its equation, specifically changing the sign of the y-coefficient.
Linear Equations – Knowledge of how to manipulate and rewrite linear equations in standard form.
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