Understanding Graphing of Linear Equations with One Variable

The video tutorial explains how to graph the equation of a line with a single variable, using the example X = 3. It discusses the nature of such equations, which result in either vertical or horizontal lines. The tutorial introduces the use of a T-table to determine points on the line, emphasizing that for X = 3, the X-coordinate is always 3 while Y can be any value. By plotting these points, it is shown that X = 3 forms a vertical line intersecting the X-axis at 3. The video concludes by generalizing that any equation of the form X = C will be a vertical line intersecting the X-axis at C.

What type of line is formed by the equation X = 3?

• Horizontal line

• Vertical line

• Curved line

• Diagonal line

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

In a T-table for the equation X = 3, what can the Y values be?

• Only negative numbers

• Only positive numbers

• Only 0

• Any value

What does the equation X = 3 tell us about the X-coordinates of points on the line?

• They must be 3

• They can be any value

• They must be negative

• They must be 0

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What is the significance of the Y-values in the T-table for X = 3?

• They can be any value

• They determine the slope

• They must be positive

• They are irrelevant

Tags

CCSS.8.F.A.1

CCSS.HSF.IF.A.1

What does the T-table help us understand about the equation X = 3?

• The curvature of the line

• The midpoint of the line

• The constant nature of X

• The slope of the line

What does the point (3,0) represent on the graph of X = 3?

• Y-intercept

• Origin

• X-intercept

• Midpoint

Tags

CCSS.5.G.A.2

How do you plot the point (3,1) on the graph?

• Move right 3 units and up 1 unit

• Move left 3 units and down 1 unit

• Move up 3 units and right 1 unit

• Move down 3 units and left 1 unit

What is the pattern for equations of the form X = C?

• They form circular lines

• They form vertical lines

• They form horizontal lines

• They form diagonal lines

If X = 3 is a vertical line, where does it intersect the X-axis?

• At X = -3

• At X = 3

• At X = 1

• At X = 0

What is the relationship between X = C and the X-axis?

• It forms a vertical line intersecting at C

• It forms a horizontal line

• It forms a curved line

• It forms a diagonal line