Summary for writing the equation of a line perpendicular to another through a given point

This video tutorial covers writing equations for lines perpendicular to a given line through a specific point. It explains the concept of opposite reciprocal slopes, demonstrates using slope-intercept and point-slope forms, and provides tips to avoid common mistakes. The tutorial emphasizes the importance of testing solutions for correctness and consistency.

What is the opposite reciprocal of a slope of 1/2?

• -2

• 2

• -1/2

• 1/2

When writing the equation of a perpendicular line, which form can you use?

• Either slope-intercept or point-slope form

• Neither form

• Only slope-intercept form

• Only point-slope form

What is the first step in verifying if your equation is correct?

• Check if the equation is in standard form

• Check if the y-intercept is zero

• Check if the slope is the opposite reciprocal

• Check if the slope is the same

What common mistake do students make when plugging in coordinates?

• Mixing up x and y coordinates

• Forgetting to solve for the slope

• Not using a calculator

• Using the wrong formula

Why is it important to ensure your answer makes sense?

• To ensure the equation is perpendicular and passes through the given point

• To avoid using the wrong formula

• To verify the equation is simplified

• To make sure the equation is in standard form