Understanding Direct Variation and Graphing

The video tutorial explains how to graph the direct variation equation Y = 2X. It begins by relating direct variation to the slope-intercept form, highlighting that the y-intercept is zero. The tutorial then demonstrates how to graph the equation by identifying the y-intercept at the origin and using the slope, expressed as a ratio, to plot additional points. The slope of 2/1 indicates a vertical change of two units for every one unit of horizontal change, allowing for the construction of the line through repeated steps.

What is the general form of a direct variation equation?

• Y = Mx + B

• Y = Kx

• Y = K + x

• Y = x/K

In a direct variation equation, what is the value of B?

• 1

• 0

• M

• K

What is the Y-intercept of the equation Y = 2X?

• (0,0)

• (0,2)

• (2,0)

• (2,2)

How is the slope of the line Y = 2X expressed as a fraction?

• 2/0

• 1/2

• 0/2

• 2/1

What does the slope of 2/1 indicate in terms of graphing?

• Down two, right one

• Down one, right two

• Up two, left one

• Up two, right one

Where does the line Y = 2X pass through on the graph?

• The point (2,2)

• The point (0,0)

• The point (1,2)

• The point (2,0)

What is the process to find additional points on the line Y = 2X?

• Go down one, left two

• Go up one, left two

• Go down two, right one

• Go up two, right one