Graphing Linear Equations: Key Concepts and Techniques

The video tutorial explains how to graph two systems of linear equations. It begins with graphing x=6 as a vertical line and then focuses on converting an equation to slope-intercept form. The process involves adding terms, isolating y, and solving the equation. The tutorial demonstrates graphing using the slope-intercept form and finding the point of intersection, which is x=6 and y=2.

What type of line does the equation x=6 represent?

• Diagonal line

• Vertical line

• Horizontal line

• Curved line

Why can't negative 18 and 2x be combined?

• They are constants

• They are coefficients

• They are not like terms

• They are like terms

What is the value of y when x=6 in the slope-intercept form equation?

• 18

• -3

• 6

• 2

What does the 'b' in the slope-intercept form represent?

• Slope of the line

• Coefficient of x

• Y-intercept of the line

• X-intercept of the line

What is the slope of the line in the equation?

• -2/3

• 3/2

• 2/3

• -3/2

How do you move on the graph to plot the slope from the y-intercept?

• Down 1, right 3

• Up 1, left 3

• Up 2, right 3

• Down 2, right 3

What are the coordinates of the intersection point of the two lines?

• (6, -2)

• (6, 2)

• (-2, 6)

• (2, 6)