Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concepts of parallel and perpendicular lines, focusing on writing equations for each. It begins with a recap of the properties of parallel and perpendicular lines, emphasizing the importance of slope. The tutorial then provides examples of how to write equations for parallel lines using point-slope form and converting to slope-intercept form. It also demonstrates how to handle perpendicular lines by using opposite reciprocal slopes and converting equations to slope-intercept form. The video concludes with a reminder to practice the concepts through homework.

What is the relationship between the slopes of parallel lines?

• They have the same slope.

• They have opposite slopes.

• They have reciprocal slopes.

• They have no relationship.

What is the relationship between the slopes of perpendicular lines?

• They have reciprocal slopes.

• They have opposite reciprocal slopes.

• They have opposite slopes.

• They have the same slope.

In Example 1, what is the slope of the line parallel to the given line with slope -4?

• -1/4

• -4

• 4

• 1/4

In Example 1, what is the final equation of the parallel line?

• y = -4x - 1

• y = 4x + 1

• y = -4x + 1

• y = 4x - 1

In Example 2, what is the first step to convert the equation X - 3y = 9 to slope-intercept form?

• Multiply by 3.

• Subtract X from both sides.

• Add X to both sides.

• Divide by 3.

In Example 2, what is the slope of the line after converting to slope-intercept form?

• 1/3

• -1/3

• -3

• 3

In Example 3, what is the opposite reciprocal of the slope 2/1?

• 1/2

• -2

• 2

• -1/2

In Example 3, what is the final equation of the perpendicular line?

• y = -1/2x + 3

• y = -1/2x + 5

• y = 1/2x + 5

• y = 1/2x + 3

In Example 4, what is the first step to convert the equation 5x + 3y = -21 to slope-intercept form?

• Divide by 3.

• Add 5x to both sides.

• Subtract 5x from both sides.

• Multiply by 3.

In Example 4, what is the final equation of the perpendicular line?

• y = 5/3x + 4

• y = -3/5x + 4

• y = -5/3x + 4

• y = 3/5x + 4