Graphing Linear Equations through Coordinate Tables

The video tutorial explains how to graph the linear equation y = 2x + 3. It begins by introducing the concept of graphing linear equations and setting up a table of coordinates. The instructor chooses x-values and calculates corresponding y-values to form coordinates. These coordinates are then plotted on a graph, with scales set for both axes. The points are connected to illustrate the linear pattern, and the graph is verified for accuracy. The tutorial concludes by encouraging viewers to explore more math resources.

What is the primary purpose of using coordinates in graphing a linear equation?

• To form a linear pattern

• To create a pattern

• To draw circles

• To calculate values

How do you determine the y values for the equation y = 2x + 3?

• Subtract 2 from x and add 3

• Add x to 3

• Multiply x by 2 and add 3

• Multiply x by 3 and add 2

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the y-coordinate when x equals 0 in the equation y = 2x + 3?

• 0

• 2

• 3

• 5

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CCSS.6.EE.C.9

Which axis is horizontal in an XY coordinate system?

• Y-axis

• None of the above

• Z-axis

• X-axis

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CCSS.5.G.A.1

What is the coordinate point when x = 3 for the equation y = 2x + 3?

• (3, 6)

• (3, 9)

• (3, 3)

• (3, 12)

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CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the y-coordinate when x equals 2 in the equation y = 2x + 3?

• 6

• 4

• 7

• 5

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CCSS.HSF.IF.A.2

What is the correct way to plot the coordinate (1, 5) on the graph?

• Over 1 on the X-axis and up 5 on the Y-axis

• Over 1 on the Y-axis and up 5 on the X-axis

• Over 5 on the X-axis and up 1 on the Y-axis

• None of the above

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CCSS.5.G.A.2

How do you verify that a coordinate correctly fits the linear equation y = 2x + 3?

• By estimating

• By subtracting

• By dividing

• By plugging in the values

What does extending the line with an arrow signify in graphing?

• Error in graphing

• Limited solutions

• Infinite solutions

• End of the line

Which website is recommended for further math resources at the end of the video?

• front-porch-math.com

• math-resources.org

• learn-math.com

• math-world.com