Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the concept of slope, starting with a review of the rate of change and its representation as a ratio on a linear graph. It explains the four types of slope: positive, negative, zero, and undefined. The tutorial provides examples of calculating slope using the rise over run method and the slope formula, emphasizing the importance of simplifying fractions. The video concludes with a reminder to ask questions if needed.

What is the slope of a line that rises 5 units and runs 10 units?

• 1/2

• 2

• 5

• 10

Which type of slope is represented by a line that goes downwards from left to right?

• Negative

• Positive

• Zero

• Undefined

If a line has a zero slope, what does it look like?

• Diagonal

• Vertical

• Curved

• Horizontal

What is the slope of a line that goes up 7 units and over 4 units?

• 7/4

• 4

• 4/7

• 1/4

How do you simplify the slope -3/9?

• 3

• 1/3

• -1/3

• -3

What is the slope formula used to find the slope between two points?

• (y1 - y2) / (x1 - x2)

• (x1 - x2) / (y1 - y2)

• (x2 - x1) / (y2 - y1)

• (y2 - y1) / (x2 - x1)

Given points (4, 3) and (1, 1), what is the slope of the line passing through these points?

• 2/3

• 1/2

• 2

• 3/2

What is the simplified slope of a line passing through points (2, -2) and (4, -4)?

• -1/2

• -2

• 2

• 1/2

If the slope between two points is positive, what can you infer about the line?

• It increases

• It is vertical

• It decreases

• It is horizontal

What is the slope of a line passing through points (0, 4) and (-2, -4)?

• 1/3

• -1/3

• -1/2

• 1/2