Exploring Equations of Parallel and Perpendicular Lines

What is the definition of parallel lines in terms of their slopes?

• Lines with slopes that multiply to -1

• Lines with slopes that add up to 0

• Lines with the same slope

• Lines with perpendicular distances

What is the slope of a line perpendicular to a line with slope 4?

• -1/4

• -4

• 1/4

• 4

If a line has a slope of -3/5, what is the slope of a line perpendicular to it?

• 5/3

• -5/3

• 3/5

• -3/5

In point-slope form, what does 'm' represent in the equation y - y1 = m(x - x1)?

• The y-intercept

• The slope of the line

• The distance from the origin

• The x-intercept

What is the equation of a line parallel to y = 4x + 3 through the point (1, 2)?

• y = 4x - 2

• y = 4x + 1

• y = 4x + 5

• y = -4x + 6

What is the slope of a line perpendicular to a line with slope 2/3?

• 2/3

• 3/2

• -3/2

• -2/3

How do you find the slope of a line perpendicular to another if the original slope is a fraction?

• Multiply by -1

• Take the negative reciprocal

• Add one to the numerator

• Subtract one from the denominator

What is the final form of the equation y - 2 = 1/2(x - 4) when simplified to slope-intercept form?

• y = 1/2x + 2

• y = 1/2x - 2

• y = 1/2x + 1

• y = 1/2x - 1

What is the purpose of converting an equation to slope-intercept form?

• To find the x-intercept

• To simplify the calculation of the slope

• To identify the slope and y-intercept easily

• To calculate the area under the curve

After watching the video, what should students do with the examples provided?

• Ignore them

• Try solving them on their own

• Wait for further instructions

• Memorize the answers