Understanding Distance Between Parallel Lines

This video tutorial explains how to determine the shortest distance between two parallel lines on a coordinate plane. It covers the concept of perpendicular segments, the importance of slopes being negative reciprocals, and provides examples of calculating perpendicular slopes. The tutorial then guides viewers through the steps to find the shortest distance using a convenient point and the distance formula, ensuring the endpoints have integer coordinates.

What is the shortest distance between two parallel lines?

• The length of a diagonal segment

• The length of a vertical segment

• The length of a horizontal segment

• The length of a perpendicular segment

What is the relationship between the slopes of two perpendicular lines?

• They are undefined

• They are both zero

• They are negative reciprocals

• They are equal

If a line has a slope of 5, what is the slope of a line perpendicular to it?

• 1/5

• -1/5

• -5

• 5

What is the first step in determining the shortest distance between two parallel lines?

• Find the midpoint of the lines

• Select a convenient point on either line

• Calculate the area between the lines

• Draw a circle around the lines

How can you determine the slope of a line using two points?

• By multiplying the coordinates

• By adding the x-coordinates

• By subtracting the y-coordinates

• By using the formula: (y2-y1)/(x2-x1)

What is the negative reciprocal of a slope of 1/2?

• -1/2

• 2

• -2

• 1/2

When sketching a line with a slope of -2, what is a possible movement from a point?

• Up 2 units, right 1 unit

• Up 1 unit, left 2 units

• Down 1 unit, left 2 units

• Down 2 units, right 1 unit

What is the formula used to calculate the distance between two points?

• Area formula

• Distance formula

• Slope formula

• Pythagorean theorem

How can the square root of 20 be simplified?

• 2√5

• 4√5

• 5√2

• 10

What would you do if the point of intersection does not have integer coordinates?

• Ignore the point

• Estimate the coordinates

• Use a different point

• Find the equation of the lines and solve the system of equations