Linear Equations and Graphing Concepts

Mr. Hamilton's video tutorial on linear relations covers the basic form of linear equations, special cases like vertical and horizontal lines, and methods to find and graph these equations. The video explains how to determine the equation of a line using given points and demonstrates graphing techniques using slope-intercept form and intercepts. Alternative graphing methods are also discussed, providing a comprehensive overview of linear relations.

What does the term 'linear' imply in the context of linear relations?

• Zigzag line

• Circular line

• Curved line

• Straight line

In the equation y = mx + b, what does 'm' represent?

• X-intercept

• Y-intercept

• Constant

• Slope

Which of the following is a special case of a linear relation?

• Diagonal line

• Vertical line

• Zigzag line

• Curved line

What is the equation of a vertical line with an x-value of 3?

• y = 0

• x = 3

• y = 3

• x = 0

How is the slope of a horizontal line described?

• Zero

• Infinite

• Negative

• Undefined

What is the first step in finding the equation of a line given two points?

• Find the Y-intercept

• Plot the points

• Draw the line

• Find the slope

If a line passes through the points (3, 2) and (-3, 0), what is the slope?

• 2/3

• 3/2

• 1/2

• 1/3

What is the equation of a line with a slope of 1/3 and a Y-intercept of 1?

• y = x + 1/3

• y = 1/3x - 1

• y = 3x + 1

• y = 1/3x + 1

What is the first step in graphing a line using the slope-intercept form?

• Find the slope

• Plot the Y-intercept

• Draw the line

• Calculate the X-intercept

How do you graph a line with a slope of 1/3 from the Y-intercept?

• Down 1, left 3

• Down 1, right 3

• Up 1, right 3

• Up 1, left 3