Worksheet: Positive, Negative, and Undefined Slopes

Q1:

What is the slope of the line passing through the points and ?

Q2:

The graph shows the capital of a company over 8 years. Determine the slope of the line which represents the increase in capital in the first three years.

• A
• B
• C
• D

Q3:

Consider the four points , , , and .

Work out the slope of the line .

• A
• B
• C
• D
• E

Work out the slope of the line .

• A
• B
• C
• D
• E

Are the two lines parallel?

• AYes
• BNo

Q4:

If a line has a positive slope, what can be said of the angle it makes with the positive -axis?

• AIt is a right angle.
• BIt is an obtuse angle.
• CIt is a zero angle.
• DIt is an acute angle.

Q5:

Line passes through points and , and line passes through points and .

Work out the slope of line .

• A1
• B3
• C
• D
• E

Work out the slope of line .

• A
• B
• C0
• D3
• E

Are the two lines parallel?

• ANo
• BYes

Q6:

In this figure, the slope of is .

• Aundefined
• Bnegative
• Cpositive
• Dzero

Q7:

In this figure, the slope of is .

• Anegative
• Bpositive
• Czero
• Dundefined

Q8:

In this figure, the slope of is .

• Anegative
• Bundefined
• Czero
• Dpositive

Q9:

What is the slope of the line in the given graph?

Q10:

What is the slope of the line passing through the points and ?

• A4
• B3
• C
• D
• E

Q11:

What can be said of the slope of a line that is parallel to the -axis?

• AIt is 1.
• BIt is 0.
• CIt is .
• DIt is undefined.

Q12:

Consider the two points and .

Find an expression for the slope of the line on and .

• A
• B
• C
• D
• E

Find the slope of the line segment connecting the points and . Give your answer as a fraction in its simplest form.

• A
• B
• C
• D
• E

Q13:

Calculate the slope of the line in the graph.