Perpendicular Lines

The video tutorial explains the concept of perpendicular lines, focusing on their properties and how they intersect at 90-degree angles. It covers the equation of straight line graphs, the concept of reciprocals, and how these relate to perpendicular lines. The tutorial also demonstrates how to identify perpendicular lines by comparing gradients and solving related problems using coordinate points and equations.

What is the angle formed when two lines are perpendicular?

• 45 degrees

• 180 degrees

• 60 degrees

• 90 degrees

In the equation y = mx + c, what does 'm' represent?

• The x-intercept

• The y-intercept

• The gradient

• The constant term

What is the reciprocal of the number 5?

• 1/5

• 1/10

• 10

• 5

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

• -3

• 1/3

• -1/3

• 3

Which of the following is a property of perpendicular lines?

• They form an acute angle

• They have the same gradient

• They never intersect

• Their gradients are negative reciprocals

How can you determine if two lines are perpendicular?

• By checking if their gradients are equal

• By checking if they have the same y-intercept

• By checking if they intersect at the origin

• By checking if their gradients are negative reciprocals

What is the negative reciprocal of 2?

• 1/2

• -1/2

• -2

• 2

If a line has a gradient of -1/2, what is the gradient of a line perpendicular to it?

• 1/2

• 2

• -1/2

• -2

What is the midpoint of the points (-5, 4.5) and (10, -3)?

• (2.5, 0.75)

• (7.5, 1.25)

• (5, 1.5)

• (0, 0)

What is the equation of a line perpendicular to y = 2x + 4 that passes through (-2, 7)?

• y = 2x + 6

• y = -1/2x + 6

• y = 1/2x + 6

• y = -2x + 6