This video tutorial covers the concepts of gradients for parallel and perpendicular lines. It explains that parallel lines have equal slopes, while perpendicular lines have slopes that multiply to -1. The video demonstrates how to calculate the equation of a line parallel or perpendicular to a given line, using specific examples. The tutorial concludes with a prompt to subscribe to the channel for more content.

What is the defining characteristic of parallel lines?

• They intersect at a 90-degree angle.

• They never meet, no matter how far they are extended.

• They have different slopes.

• They form a triangle.

What is true about the slopes of two parallel lines?

• They are always positive.

• They are always zero.

• They are equal.

• They are negative reciprocals of each other.

If two lines are perpendicular, what is the product of their slopes?

• 0

• 1

• -1

• 2

How do you find the slope of a line from its equation in the form Ax + By + C = 0?

• By adding A and B.

• By making y the subject and identifying the coefficient of x.

• By dividing A by B.

• By subtracting C from A.

What is the slope of a line parallel to the line 2x - 4y + 3 = 0?

• -1/2

• 2

• -2

• 1/2

What is the equation of a line parallel to 2x - 4y + 3 = 0 and passing through (-3, 5)?

• y = 2x + 5

• y = -1/2x + 13/2

• y = -2x + 5

• y = 1/2x + 13/2

What is the slope of a line perpendicular to the line 8x + y + 3 = 0?

• 1/2

• -1/2

• 2

• -2

What is the equation of a line perpendicular to 8x + y + 3 = 0 and passing through (2, 4)?

• y = -2x + 4

• y = 2x + 4

• y = -1/2x + 3

• y = 1/2x + 3