Understanding Perpendicular Lines and Their Equations

The video tutorial explains how to find the equation of a line that is perpendicular to a given line, Y = 2X + 1, and passes through a specific point (-4,5). It covers the concept of perpendicular lines having slopes that are negative reciprocals of each other. The tutorial demonstrates solving the problem using both slope-intercept form and point-slope form, and verifies the solution graphically.

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

• They are equal.

• They are negative reciprocals.

• They are both zero.

• They are both positive.

If a line has a slope of 3, what is the slope of a line perpendicular to it?

• -1/3

• 1/3

• -3

• 3

What is the slope of a line perpendicular to the line y = 2x + 1?

• -2

• 1/2

• -1/2

• 2

Which form of the line equation is used to find the y-intercept directly?

• Slope-intercept form

• Point-slope form

• Quadratic form

• Standard form

What is the y-intercept of the line with equation y = -1/2x + 3?

• 0

• -3

• 3

• -1/2

In point-slope form, what does the 'm' represent?

• The y-coordinate

• The y-intercept

• The x-coordinate

• The slope

What is the equation of a line with slope -1/2 passing through the point (-4, 5) using point-slope form?

• y + 5 = -1/2(x - 4)

• y - 5 = -1/2(x + 4)

• y - 5 = 1/2(x + 4)

• y + 5 = 1/2(x - 4)

How do you verify if two lines are perpendicular graphically?

• They have the same slope.

• They do not intersect.

• They intersect at a 90-degree angle.

• They are parallel.

What is the significance of the point (-4, 5) in the context of the line equation?

• It is a point through which the line passes.

• It is the slope of the line.

• It is the y-intercept.

• It is the x-intercept.

What is the final equation of the line perpendicular to y = 2x + 1 and passing through (-4, 5)?

• y = -2x + 1

• y = 1/2x - 3

• y = -1/2x + 3

• y = 2x + 3