Writing Equations of Parallel and Perpendicular Lines

This video tutorial reviews the concepts of parallel and perpendicular lines, focusing on their equations and properties. It explains the significance of opposite reciprocals in determining perpendicularity and demonstrates how to use slope-intercept form to solve line equations. The tutorial includes practice problems and graphing exercises, culminating in a real-world application involving rowers in a stream.

What is the postulate for parallel lines in geometry?

• They have the same slope.

• They have the same y-intercept.

• They have different slopes.

• They intersect at right angles.

What must be true for the slopes of two perpendicular lines?

• They must be opposite reciprocals.

• They must be reciprocals.

• They must be zero.

• They must be equal.

If a line has a slope of 3/4, what is the slope of a line perpendicular to it?

• 3/4

• -4/3

• 4/3

• -3/4

If a line has a slope of -3/2, what is the slope of a line perpendicular to it?

• 2/3

• -2/3

• 3/2

• -3/2

Given the line y = 2/5x + 3, what is the slope of a line parallel to it?

• 2/5

• -2/5

• -5/2

• 5/2

Given the line y = 3x - 2, what is the slope of a line perpendicular to it?

• 1/3

• -3

• -1/3

• 3

For the line y = -2x + 7, what is the equation of a line parallel to it passing through the origin?

• y = -2x

• y = 2x + 7

• y = 2x

• y = -2x + 7

What is the slope of the line perpendicular to y = 4/3x + 3?

• 3/4

• -3/4

• -4/3

• 4/3

What is the y-intercept of a line parallel to y = -2x + 7 that passes through the origin?

• 2

• -2

• 0

• 7

If two rowers are traveling parallel to each other but at different speeds, will they ever meet?

• No, because they are traveling in opposite directions.

• Yes, because they are traveling parallel.

• No, because they are traveling at different speeds.

• Yes, because their paths will intersect.