Exploring Parallel and Perpendicular Equations

What is the relationship between the slopes of parallel lines?

• They have opposite slopes.

• They have no relationship.

• They have the same slope.

• They have reciprocal slopes.

How do you find the slope of the line given by the equation 2x - 5y = 3?

• By subtracting 2x from both sides and then dividing by -5.

• By multiplying both sides by 5.

• By adding 2x to both sides.

• By dividing both sides by 2.

What is the slope of the line parallel to the line given by 2x - 5y = 3?

• -5/2

• 5/2

• -2/5

• 2/5

Which form of the equation is used to find the equation of a line when the slope and a point on the line are known?

• Slope-intercept form

• Standard form

• Point-slope form

• General form

What is the final equation of the line parallel to 2x - 5y = 3 that passes through the point (5, 3)?

• y = 2/5x + 1

• y = 2/5x - 3/5

• y = -2/5x + 1

• y = 5/2x - 3

What is the slope of the line perpendicular to the line given by 3x + 2y = 5?

• -3/2

• 2/3

• -2/3

• 3/2

How do you find the slope of the line given by the equation 3x + 2y = 5?

• By adding 3x to both sides.

• By subtracting 3x from both sides and then dividing by 2.

• By multiplying both sides by 2.

• By dividing both sides by 3.

What is the final equation of the line perpendicular to 3x + 2y = 5 that passes through the point (-3, -4)?

• y = -2/3x + 2

• y = 2/3x + 2

• y = 2/3x - 2

• y = -2/3x - 2

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

• 2/3

• -2/3

• 3/2

• -3/2

Which form of the equation is used to find the equation of a line when the slope and a point on the line are known?

• Point-slope form

• General form

• Standard form

• Slope-intercept form