Understanding Slope and Line Graphing

This video tutorial explains how to graph a line given a point and the slope. It begins with a review of the definition of slope, describing it as the ratio of vertical change to horizontal change. The tutorial then demonstrates how to use the slope to find a second point on a line, using examples with different slopes, including positive, negative, zero, and undefined slopes. The video emphasizes the importance of understanding slope in fraction form and provides strategies for graphing lines accurately by finding multiple points.

What is the definition of slope in terms of change in variables?

• The ratio of the change in x to the change in y

• The ratio of the change in y to the change in x

• The sum of the changes in x and y

• The product of the changes in x and y

If a line has a slope of 2/5, how would you find a second point from a given point?

• Move down 5 units and left 2 units

• Move up 2 units and right 5 units

• Move down 2 units and left 5 units

• Move up 5 units and right 2 units

How can the slope of 2/5 be alternatively expressed to find a second point?

• As -2/-5

• As -5/-2

• As 5/2

• As 2/-5

Given a point (-2, -3) and a slope of 1/2, what is the next point on the line?

• (-1, -4)

• (-1, -3)

• (-1, -2)

• (-1, -1)

How can a slope of 1/2 be rewritten to find a second point using negative values?

• 1/-2

• -1/2

• -1/-2

• -1/2

If a line has a slope of 3, how can it be expressed in fraction form?

• 1/3

• 0/3

• 3/1

• 3/0

What is the movement direction for a slope of -2/3?

• Down 2, right 3

• Up 2, left 3

• Up 3, left 2

• Down 3, right 2

What is the characteristic of a line with a slope of zero?

• It is a vertical line

• It is a horizontal line

• It is a diagonal line

• It is a curved line

How do you graph a line with an undefined slope?

• As a horizontal line

• As a vertical line

• As a diagonal line

• As a curved line

What happens if you divide any constant by zero?

• It becomes negative

• It becomes infinite

• It becomes undefined

• It becomes zero