Writing Equations of Parallel and Perpendicular Lines

What is the key characteristic of parallel lines in the same plane?

• They are always horizontal.

• They have different slopes.

• They have the same slope.

• They intersect at one point.

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

• -3

• 1/3

• 2

• 3

Which form is used to write the equation of a line given a point and a slope?

• General form

• Standard form

• Point-slope form

• Slope-intercept form

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

• -1/4

• 4

• -4

• 1/4

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

• -3/2

• -2/3

• 3/2

• 2/3

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

• y = -2x - 1

• y = 2x - 4

• y = -2x + 1

• y = 2x + 1

How do you determine if two lines are perpendicular?

• They are both vertical.

• Their slopes are negative reciprocals.

• Their slopes are equal.

• They intersect at any angle.

Given the line y = -1/4x + 3, what is the slope of a line parallel to it?

• -4

• 4

• 1/4

• -1/4

Which of the following lines is perpendicular to y = 2x + 1?

• y = 1/2x - 3

• y = -2x + 3

• y = 2x - 3

• y = -1/2x + 3

If line A has a slope of 4 and line B has a slope of -1/4, what is their relationship?

• They are coincident.

• They are perpendicular.

• They are parallel.

• They are neither parallel nor perpendicular.