Parallel and Perpendicular Lines

This video tutorial explains how to write equations for parallel and perpendicular lines. It begins with an introduction to the concepts, followed by detailed steps and examples for writing equations of lines parallel to a given line using the point-slope form. The tutorial then covers writing equations for perpendicular lines, emphasizing the use of opposite reciprocal slopes. Each section includes practical examples to illustrate the process.

What is the key characteristic of parallel lines in terms of their slopes?

• They have the same slope.

• They have opposite slopes.

• Their slopes are reciprocals.

• Their slopes are zero.

Which form is used to write the equation of a line parallel to another line?

• Slope-intercept form

• Point-slope form

• Quadratic form

• Standard form

What is the equation of a line parallel to Y = 2x + 1 that passes through (5, 0)?

• Y = 2x + 5

• Y = 2x - 1

• Y = 2x + 1

• Y = 2x + 2

If a line is parallel to Y = X - 5 and passes through (4, 3), what is its equation?

• Y = X - 1

• Y = X + 5

• Y = X + 1

• Y = X - 5

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

• Y = -4x + 5

• Y = -4x - 5

• Y = -4x + 3

• Y = -4x - 3

Find the equation of a line parallel to Y = -2/3x + 5 that passes through (3, 1).

• Y = -2/3x + 2

• Y = -2/3x + 5

• Y = -2/3x + 1

• Y = -2/3x + 3

What is the opposite reciprocal of a slope of -2/3?

• 3/2

• -3/2

• 2/3

• -2/3

What is the equation of a line perpendicular to Y = -2/3x - 5 that passes through (-2, -3)?

• Y = 2/3x

• Y = 3/2x

• Y = -2/3x

• Y = -3/2x

Find the equation of a line perpendicular to Y = 3x + 2 that passes through (3, -4).

• Y = -3x - 5

• Y = 3x - 5

• Y = -1/3x - 5

• Y = 1/3x - 5

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

• Y = -3/2x + 2

• Y = 3/2x + 2

• Y = -2/3x + 2

• Y = 2/3x + 2