Graphing Lines with Points and Slopes

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 as the ratio of vertical change to horizontal change. The tutorial demonstrates how to use the slope to find a second point on the line, using examples with different slopes, including positive, negative, zero, and undefined slopes. Special cases are discussed, such as horizontal and vertical lines, and the importance of adjusting the slope to find points on the coordinate plane is highlighted.

What is the definition of slope?

• The sum of the changes in x and y

• The difference between the changes in x and y

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

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

If the slope is 2/5, how do you find the second point from a given point?

• Move down 2 units and left 5 units

• Move up 2 units and right 5 units

• Move down 2 units and right 5 units

• Move up 2 units and left 5 units

How can the slope 3 be written in fraction form?

• 3/0

• 0/3

• 3/1

• 1/3

If the slope is -2/3, how do you find the second point from a given point?

• Move up 2 units and right 3 units

• Move down 2 units and left 3 units

• Move down 2 units and right 3 units

• Move up 2 units and left 3 units

How can the slope -2 be written in fraction form?

• 0/-2

• -2/0

• 2/-1

• -2/1

If the slope is 1/2, how do you find the second point from a given point?

• Move up 1 unit and right 2 units

• Move down 1 unit and right 2 units

• Move down 1 unit and left 2 units

• Move up 1 unit and left 2 units

What is the slope of a line that passes through the points (0, -1) and (3, -3)?

• 2/3

• -2/3

• 3/2

• -3/2

What does a slope of zero indicate about the line?

• The line is vertical

• The line is horizontal

• The line is diagonal

• The line has no slope

What does an undefined slope indicate about the line?

• The line has no slope

• The line is horizontal

• The line is diagonal

• The line is vertical

If the slope is 2/0, what type of line is it?

• Vertical

• Diagonal

• Horizontal

• No slope