Understanding Slope and Linear Equations

The video tutorial explains how to graph the linear equation y = 2x - 1. It begins with creating a table of values to find points for the graph. The points are then plotted, and a line is drawn through them, extending to infinity. The tutorial also covers the slope-intercept form, y = mx + b, to verify the graph, explaining the y-intercept and slope as rise over run.

What is the first step in graphing the equation y = 2x - 1?

• Find the slope

• Create a table of values

• Identify the y-intercept

• Draw the line

If x is 1, what is the value of y in the equation y = 2x - 1?

• -1

• 2

• 1

• 0

What is the y-value when x is 0 in the equation y = 2x - 1?

• 0

• 2

• 1

• -1

Which point is NOT on the graph of y = 2x - 1?

• (1, 1)

• (2, 0)

• (0, -1)

• (-1, -3)

What does the line through the points on the graph represent?

• The y-intercept

• The slope

• The x-intercept

• The equation y = 2x - 1

In the slope-intercept form y = mx + b, what does 'b' represent?

• The origin

• The y-intercept

• The slope

• The x-intercept

What is the y-intercept of the equation y = 2x - 1?

• 0

• -1

• 1

• 2

How is the slope of 2 in the equation y = 2x - 1 best described?

• 2 over 0

• 1 over 2

• 0 over 2

• 2 over 1

What does 'rise over run' refer to in the context of slope?

• The y-intercept

• The x-intercept

• The change in y over the change in x

• The origin

Which direction do you move from the y-intercept to apply the slope of 2?

• Down 1, left 2

• Up 1, right 2

• Down 2, left 1

• Up 2, right 1