Worksheet: Positive, Negative, and Undefined Slopes

In this worksheet, we will practice finding the slope from two points or a graph of a function and determining whether the slope is positive, negative, zero, or undefined.

Q1:

What is the slope of the line passing through the points ( 2 , 2 ) and ( 4 , 8 ) ?

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 1 0 3
  • B 3 1 0
  • C 3 1 0
  • D 1 0 3

Q3:

Consider the four points 𝐴 ( 1 , 2 ) , 𝐵 ( 6 , 0 ) , 𝐶 ( 1 , 2 ) , and 𝐷 ( 3 , 4 ) .

Work out the slope of the line 𝐴 𝐵 .

  • A 2 5
  • B 5 2
  • C 1 2
  • D 2 5
  • E 1 2

Work out the slope of the line 𝐶 𝐷 .

  • A 1 2
  • B 2 5
  • C 1 2
  • D 2
  • E 2 5

Are the two lines parallel?

  • AYes
  • BNo

Q4:

Line 𝐿 passes through points ( 1 , 2 ) and ( 2 , 3 ) , and line 𝑀 passes through points ( 1 , 1 ) and ( 5 , 1 ) .

Work out the slope of line 𝐿 .

  • A1
  • B3
  • C 3
  • D 1 3
  • E 1 3

Work out the slope of line 𝑀 .

  • A 1 3
  • B 3
  • C0
  • D3
  • E 1 2

Are the two lines parallel?

  • ANo
  • BYes

Q5:

What is the slope of the line passing through the points 2 , 2 3 and ( 6 , 2 ) ?

  • A4
  • B3
  • C 1 3
  • D 1 3
  • E 3

Q6:

Calculate the slope of the line in the graph.

Q7:

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

Q8:

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

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

Q9:

In this figure, the slope of 𝐴 𝐶 is .

  • Anegative
  • Bundefined
  • Czero
  • Dpositive

Q10:

Consider the two points 𝐴 ( 𝑥 , 𝑦 ) and 𝐵 ( 𝑥 , 𝑦 ) .

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

  • A 𝑥 𝑥 𝑦 𝑦
  • B 𝑦 + 𝑦 𝑥 + 𝑥
  • C 𝑥 + 𝑥 𝑦 + 𝑦
  • D 𝑦 𝑦 𝑥 𝑥
  • E 𝑦 𝑦 𝑥 𝑥

Find the slope of the line segment connecting the points ( 3 , 4 ) and ( 5 , 7 ) . Give your answer as a fraction in its simplest form.

  • A 3 2
  • B 8 1 1
  • C 2 3
  • D 1 1 8
  • E 1 1 2

Q11:

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

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

Q12:

In this figure, the slope of 𝐴 𝑂 is .

  • Anegative
  • Bpositive
  • Czero
  • Dundefined

Q13:

In this figure, the slope of 𝐵 𝐶 is .

  • Aundefined
  • Bnegative
  • Cpositive
  • Dzero

Nagwa uses cookies to ensure you get the best experience on our website. Learn more about our Privacy Policy.