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.
