Finding the Point of Intersection of Two Lines Using a Table

The video tutorial teaches how to find the x-coordinate of the intersection of two equations without using a graph, by making a table. It reviews the concept of solutions to equations and systems, explains the slope-intercept form, and addresses common misunderstandings. An example involving pizza costs is used to illustrate the process of finding the intersection point. The lesson concludes by summarizing the method of using tables to find intersections.

What is the significance of the point where two lines intersect?

• It is a solution to both equations.

• It is the midpoint of the lines.

• It is the starting point of the lines.

• It is the endpoint of the lines.

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

• The slope

• The x-coordinate

• The solution

• The y-intercept

What common mistake do students make when identifying the slope in real-world problems?

• Using the initial value as the slope

• Using the rate of change as the y-intercept

• Using the y-intercept as the slope

• Using the x-coordinate as the slope

In the limo company example, what is the correct slope of the equation?

• $25 per hour

• $75

• $50

• $100

For the limo company, what does the y-intercept represent?

• The number of hours

• The flat rate

• The total cost

• The hourly rate

What is the equation for the cost of a pizza at Paradise Pizzeria?

• y = $0.90x + $6.80

• y = $0.65x + $7.30

• y = $6.80x + $0.90

• y = $7.30x + $0.65

How many toppings are needed for the pizzas from Paradise and Geno's to cost the same?

• One topping

• Two toppings

• Three toppings

• Four toppings