Writing Equations of Parallel and Perpendicular Lines

Mrs. Yaod introduces the concepts of parallel and perpendicular lines, explaining their definitions and symbols. She discusses how to determine if lines are parallel or perpendicular by examining their slopes. Parallel lines have equal slopes, while perpendicular lines have opposite reciprocal slopes. The video includes practice exercises to identify parallel and perpendicular lines using given points and equations, emphasizing the use of the slope formula and point-slope form.

What is the symbol used to denote that two lines are parallel?

• A small square

• Two small parallel lines

• A single arrow

• An upside-down capital T

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

• They are perpendicular

• They are positive reciprocals

• They are negative reciprocals

• They are equal

If a line has a slope of -2, what is the slope of a line perpendicular to it?

• -2

• 1/2

• -1/2

• 2

If the slope of line A is 4 and the slope of line B is -1/4, what is the relationship between these lines?

• They are coincident

• They are neither parallel nor perpendicular

• They are parallel

• They are perpendicular

Given the points (2, -1) and (-1, -4), what is the slope of the line passing through these points?

• 1

• -1

• -3

• 3

Which of the following lines is parallel to the line with the equation y = 3x + 2?

• y = 1/3x - 2

• y = -3x + 1

• y = 3x - 4

• y = -1/3x + 5

Given the equation 3y - 9 = 6x, what is the slope of the line?

• -1/2

• 1/2

• -2

• 2

What is the slope of the line perpendicular to y = 2x - 3?

• -1/2

• 1/2

• -2

• 2

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

• y = -3x + 5

• y = 3x + 2

• y = 3x - 2

• y = -3x + 1

What is the equation of a line perpendicular to y = 1/2x - 3 that passes through the point (4, -1)?

• y = 2x - 9

• y = 2x + 1

• y = -2x + 7

• y = -2x + 3