What do I need to know to write the equation of a perpendicular line through a point

This video tutorial covers the essential concepts needed to write the equation of a perpendicular line through a given point. It begins with an introduction to perpendicular lines, explaining their intersection properties and the concept of orthogonal lines. The tutorial then delves into the understanding of slopes, particularly focusing on opposite reciprocal slopes. It introduces the slope-intercept and point-slope forms of equations, which are crucial for identifying perpendicular lines. Finally, the video explains how to evaluate points on a graph to determine if they lie on a given line, using practical examples to illustrate the process.

What is the relationship between the slopes of two perpendicular lines?

• They are equal.

• They are opposite reciprocals.

• They are both positive.

• They are both negative.

Which form of a linear equation is represented by 'y = mx + b'?

• Point-slope form

• Standard form

• Quadratic form

• Slope-intercept form

In the point-slope form of a line, what do the variables x1 and y1 represent?

• The slope of the line

• The y-intercept of the line

• A point on the line

• The x-intercept of the line

What does the slope of a line represent?

• The angle of the line with the x-axis

• The y-intercept of the line

• The x-intercept of the line

• The change in vertical and horizontal distance between two points

How can you determine if a point lies on a given line?

• By measuring the distance from the origin

• By substituting the point into the line's equation and verifying the equality

• By checking if the point is on the x-axis

• By checking if the point is on the y-axis