Understanding Points of Intersection of Linear Functions

The video tutorial explains how to determine the point of intersection of two linear functions using both graphical and algebraic methods. It begins by introducing the concept of intersection points and the slope-intercept form of linear equations. The tutorial then demonstrates how to graph the functions to find the intersection point, highlighting the importance of accuracy. It also covers solving the equations algebraically by setting them equal to each other and solving for the variables. The tutorial concludes by confirming that both methods yield the same intersection point.

What are the two methods mentioned for finding the intersection of linear functions?

• Algebraic and numerical

• Statistical and graphical

• Graphical and algebraic

• Numerical and graphical

Tags

CCSS.8.F.A.3

CCSS.8.EE.B.6

In the slope-intercept form of a linear equation, what does 'M' represent?

• The constant term

• The x-intercept

• The slope

• The y-intercept

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CCSS.8.EE.B.5

What is the slope of the first linear function Y = -2X - 4?

• -2

• 2

• -4

• 4

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CCSS.8.F.A.3

CCSS.8.EE.B.6

What is the y-intercept of the second linear function Y = X + 8?

• -8

• 0

• 8

• 1

Tags

CCSS.8.EE.C.8B

What is a potential drawback of using the graphical method to find intersections?

• It requires solving equations

• It is time-consuming

• It requires accurate graphing

• It is not visual

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What equation is set up to find the intersection algebraically?

• -2X - 4 = X + 8

• X = -4

• Y = X + 8

• Y = -2X - 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the x-coordinate of the intersection point found algebraically?

• 4

• -4

• 0

• 8

Tags

CCSS.HSA.REI.C.6

CCSS.8.EE.C.8B

After finding the x-coordinate, how is the y-coordinate determined?

• By using the slope

• By using either function

• By graphing again

• By guessing

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

What is the y-coordinate of the intersection point?

• -4

• 0

• 8

• 4

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6

Which function can be used to verify the y-coordinate of the intersection point?

• Only the first function

• Only the second function

• Either function

• Neither function

Tags

CCSS.8.EE.C.8B

CCSS.HSA.REI.C.6