Exploring Adding and Subtracting Rational Expressions

The video tutorial covers the point-slope form of linear equations, explaining its use in solving real-world problems. It provides examples such as calculating costs for canoe rentals, construction services, internet surfing, and temperature conversion. The tutorial emphasizes the importance of identifying the slope and ordered pairs to set up and solve equations effectively.

What is the formula for point-slope form?

• y - y1 = m(x - x1)

• y = mx + b

• ax + by = c

• y = x + c

If a canoe rental costs $12 per hour, what is the slope in the point-slope equation?

• 7

• 12

• 68

• 4

In the equation y - 68 = 12(x - 4), what does 68 represent?

• The y-coordinate of the point

• The x-coordinate of the point

• The y-intercept

• The slope

What is the final equation for the cost to rent a canoe for 7 hours?

• y = 12x + 104

• y = 12x + 84

• y = 12x + 20

• y = 12x + 68

What is the slope in the equation y - 219 = 18(x - 8)?

• 0

• 8

• 18

• 219

How much is the one-time fee for the trash dumpster in the construction company problem?

• $75

• $219

• $144

• $18

What is the first step in solving a two-point problem?

• Distribute the slope

• Combine like terms

• Label the points

• Find the y-intercept

What is the slope between the points (15, 4.05) and (40, 5.80)?

• 1.75

• 0.07

• 0.18

• 25

What is the equation for the cost of surfing the web for one hour?

• y = 0.07x + 4.05

• y = 0.07x + 3

• y = 0.07x + 7.20

• y = 0.07x + 5.80

If the weather forecast says it will be 25 degrees Celsius, what is the temperature in Fahrenheit?

• 100°F

• 212°F

• 77°F

• 32°F