Understanding Slope and Its Implications

Mr. Holcomb introduces the concept of slope in lesson 15, focusing on non-vertical lines. The lesson covers comparing the steepness of different graphs, explaining how to move between points on a graph, and converting these movements into ratios. Practice problems are provided to reinforce the concept, and the lesson concludes with calculating the slope of non-vertical lines using given points.

What is the term used to describe the steepness of a non-vertical line?

• Gradient

• Slope

• Incline

• Angle

If a line goes up 2 units and right 3 units, what is the slope of the line?

• 1/2

• 3

• 2/3

• 3/2

Which graph is steeper if one has a slope of 4/5 and the other has a slope of 1/12?

• The graph with slope 4/5

• Cannot be determined

• The graph with slope 1/12

• Both are equally steep

How do you express the movement from one point to another on a graph in terms of slope?

• By using coordinates

• By using ratios

• By using distances

• By using angles

What is the slope of a line that rises 7 units and runs 1 unit?

• 0

• 1/7

• 1

• 7

If a line has a slope of 3/6, what is its simplified slope?

• 2

• 3

• 1/2

• 6

What does a negative slope indicate about the direction of a line?

• The line is horizontal

• The line is ascending

• The line is declining

• The line is vertical

What is the slope of a line that does not rise or fall as it moves horizontally?

• 1

• Undefined

• 0

• -1

How is the slope of a horizontal line described?

• Undefined

• Zero

• Negative

• Positive

What is the relationship between the steepness of a line and its slope?

• Steeper lines have zero slopes

• Steepness does not affect slope

• Steeper lines have larger slopes

• Steeper lines have smaller slopes