Equations of Parallel and Perpendicular Lines Explained

What is the main characteristic of parallel lines?

• They have different slopes.

• They intersect at a right angle.

• They never intersect.

• They form a triangle.

If two lines are parallel, what can be said about their slopes?

• They have the same slope.

• They have opposite slopes.

• One slope is double the other.

• They have reciprocal slopes.

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

• -1/2

• 1/2

• -2

• 2

What is the main characteristic of perpendicular lines?

• They never intersect.

• They form a parallel line.

• They intersect at a right angle.

• They have the same slope.

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

• 1/2

• -1/2

• -2

• 2

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

• 1/3

• 3

• -1/3

• -3

What is the slope of the line parallel to y = -1/2x + 7?

• -1/2

• 1/2

• -2

• 2

Which form is used to write an equation when given a slope and a point?

• Slope-intercept form

• Quadratic form

• Point-slope form

• Standard form

What is the equation of a line parallel to y = 3x + 4 that passes through the point (-1, 5)?

• y = 3x + 5

• y = 3x + 2

• y = 3x + 8

• y = 3x + 7

What is the equation of a line perpendicular to y = 3x + 2 that passes through the point (-6, 3)?

• y = -1/3x + 3

• y = 1/3x + 3

• y = 1/3x + 1

• y = -1/3x + 1