Understanding Linear Equations and Graphs

The video tutorial explains how to graph the linear equation Y = -1/3X. It begins by introducing the concept of direct variation and the slope-intercept form of a linear equation. The tutorial then details the slope and Y-intercept of the line, explaining how to interpret and use these to graph the line. Finally, it provides a step-by-step guide to plotting the line on a graph, using the slope to determine additional points.

What type of equation is Y = -1/3X?

• Quadratic equation

• Direct variation equation

• Exponential equation

• Logarithmic equation

In the equation Y = MX + B, what does B represent?

• The slope of the line

• The Y-intercept

• The X-intercept

• The origin

How is the slope M = -1/3 interpreted in terms of rise and run?

• Rise 3, run -1

• Rise -1, run 3

• Rise -1, run -3

• Rise 1, run 3

What is the Y-intercept of the line Y = -1/3X?

• (1, 0)

• (1, 1)

• (0, 0)

• (0, 1)

What is the first step in graphing the line Y = -1/3X?

• Plot the X-intercept

• Find the midpoint

• Plot the Y-intercept

• Calculate the slope

After plotting the Y-intercept, how do you find the next point on the line?

• Move up 1 and left 3

• Move down 1 and right 3

• Move down 3 and left 1

• Move up 3 and right 1

What does the graph of Y = -1/3X look like?

• A vertical line

• A line passing through the origin with a positive slope

• A horizontal line

• A line passing through the origin with a negative slope

Which point is not on the line Y = -1/3X?

• (3, 1)

• (6, -2)

• (3, -1)

• (0, 0)