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Questions and Answers
What is the condition for two lines to be perpendicular?
What is the condition for two lines to be perpendicular?
- m_1 - m_2 = 1
- m_1 ÷ m_2 = 1
- m_1 + m_2 = 0
- m_1 × m_2 = -1 (correct)
What is the first step in finding the equation of a line perpendicular to a given line?
What is the first step in finding the equation of a line perpendicular to a given line?
- Calculate the perpendicular gradient
- Use the point-slope form
- Simplify the equation
- Identify the gradient of the given line (correct)
What is the formula to find the gradient of a perpendicular line?
What is the formula to find the gradient of a perpendicular line?
- m_1 = -1/m_2 (correct)
- m_1 = m_2
- m_1 = -m_2
- m_1 = 1/m_2
What is the purpose of using the point-slope form in finding the equation of a perpendicular line?
What is the purpose of using the point-slope form in finding the equation of a perpendicular line?
What is the final step in finding the equation of a perpendicular line?
What is the final step in finding the equation of a perpendicular line?
Why is it important to ensure the given line's equation is in gradient-intercept form?
Why is it important to ensure the given line's equation is in gradient-intercept form?
What is the product of the gradients of two perpendicular lines?
What is the product of the gradients of two perpendicular lines?
What is the purpose of identifying the gradient of the given line in finding the equation of a perpendicular line?
What is the purpose of identifying the gradient of the given line in finding the equation of a perpendicular line?
What form of the equation of a line is required to easily identify the gradient?
What form of the equation of a line is required to easily identify the gradient?
What is the procedure to find the equation of a line that is perpendicular to a given line and passes through a specific point?
What is the procedure to find the equation of a line that is perpendicular to a given line and passes through a specific point?
If two lines are perpendicular, what can be said about their gradients?
If two lines are perpendicular, what can be said about their gradients?
What is the relationship between the gradients of two lines that are perpendicular?
What is the relationship between the gradients of two lines that are perpendicular?
What is the implication of the product of the gradients of two lines being -1?
What is the implication of the product of the gradients of two lines being -1?
What is the purpose of calculating the perpendicular gradient using the formula $m_1 = -\frac{1}{m_2}$?
What is the purpose of calculating the perpendicular gradient using the formula $m_1 = -\frac{1}{m_2}$?
What is the advantage of using the point-slope form of the equation of a line in finding the equation of a perpendicular line?
What is the advantage of using the point-slope form of the equation of a line in finding the equation of a perpendicular line?
What is the significance of ensuring the given line's equation is in gradient-intercept form?
What is the significance of ensuring the given line's equation is in gradient-intercept form?
What is the result of multiplying the gradients of two perpendicular lines?
What is the result of multiplying the gradients of two perpendicular lines?
What is the relationship between the gradients of two lines if their product is not -1?
What is the relationship between the gradients of two lines if their product is not -1?
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