Graphing and Intersection Points

• 2

• 1

• 0

• an infinite number of times

• The lines intersect one time.

• The lines do not intersect.

• There is no solution.

• They are the same line.

• The lines are parallel.

Is (2, 1) a solution to the following system:

• Yes

• No

• (2, 0)

• (3, -1)

• (0, 2)

• (6, 1)

• 
• 
• 
• 

Is (5, 3) a solution to the following system:

• Yes

• No

Hadyn and Alex are planning to meet at a park which is at the intersection of two streets represented by two equations. What is the first step they should take to find the park by graphing these equations?

• Substitute one street's equation into the other.

• Solve one of the street's equation for a variable.

• Find the slope of each street's equation.

• Plot the streets' equations on the same coordinate plane.

Alex, Dyron, and Jake are running a lemonade stand. They are trying to figure out the sales of their two different lemonade recipes. If the graphs of these sales equations intersect at a single point, how many solutions does this system of equations have?

• 2

• 1

• 3

• 0

Diego and Miles Morales are planning their monthly budget. They each have a system of equations representing their monthly expenses. What does the intersection point of their expense graphs represent?

• The intersection point represents the sum of their expenses.

• The intersection point represents the average of their expenses.

• The intersection point represents the solution to the system of equations.

• The intersection point represents the maximum of their expenses.

Batman and Alex are trying to solve a system of equations representing the sales of two different types of ice cream in their school canteen. They found that the intersection point of the two graphs is (-2, 3). What does this mean in terms of the system of equations?

• The system of equations has a solution of x = -2 and y = 3.

• The system of equations has a solution of x = 3 and y = -2

• The system of equations has no solution, meaning that there is no price at which both types of ice cream sell the same number of units.

• The system of equations has infinitely many solutions, meaning that there are infinite prices at which both types of ice cream sell the same number of units.