Exploring Adding and Subtracting Rational Expressions

The video tutorial covers linear relations, focusing on converting equations to standard form and understanding slope-intercept form. It explains how to graph linear equations and discusses the characteristics of vertical and horizontal lines. The tutorial also explores the concepts of parallel and perpendicular lines, emphasizing their slopes and relationships.

What is a linear relation?

• A relation where points on a graph form a curve

• A relation where points on a graph lie along a straight line

• A relation where points on a graph form a circle

• A relation where points on a graph are scattered randomly

In the standard form equation Ax + By = C, what must be true about the coefficient A?

• A can be any integer

• A must be less than zero

• A must be greater than or equal to one

• A must be a fraction

How can you convert the equation -5x + 6y = -12 to standard form?

• Add 5 to each term

• Multiply each term by 2

• Divide each term by -1

• Subtract 6 from each term

What is the standard form of the equation y = 2x - 9?

• x + 2y = -9

• 2x + y = 9

• y - 2x = -9

• 2x - y = 9

What is the slope-intercept form of a linear equation?

• y = mx + b

• x = my + b

• y = bx + m

• Ax + By = C

In the slope-intercept form y = mx + b, what does 'm' represent?

• The slope

• The x-intercept

• The constant term

• The y-intercept

What type of slope does a horizontal line have?

• Zero slope

• Negative slope

• Positive slope

• Undefined slope

What is the slope of the line represented by the equation y = -4x + 1?

• 1/4

• -1/4

• 4

• -4

What is the relationship between two lines with slopes that are negative reciprocals of each other?

• They are parallel

• They are perpendicular

• They are neither parallel nor perpendicular

• They are the same line

What is the slope of a vertical line?

• Positive

• Undefined

• Zero

• Negative