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Gradients of Lines (Positive or Negative)

In this worksheet, students identify lines with positive, negative, zero and infinite gradients.

'Gradients of Lines (Positive or Negative)' worksheet

Key stage:  KS 4

Curriculum topic:  Algebra

Curriculum subtopic:  Use y = mx + c to Identify Parallel and Perpendicular Lines

Difficulty level:  

down

Worksheet Overview

QUESTION 1 of 10

Gradients of lines can be positive, negative, zero or infinite.

 

Positive Gradients

The lines shown in red below all have positive gradient. 

They slope from bottom left to top right.

 

Negative Gradients

The lines shown in blue below all have negative gradient. 

They slope from top left to bottom right.

 

Zero Gradient

The lines shown in green below all have zero gradient. 

They lie flat or horizontal and are parallel to the x-axis.

.

Infinite Gradient

The lines shown in orange below all have infinite gradient. 

They are vertical and are parallel to the y-axis.

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

Positive

Negative

Zero

Infinity

  • Question 1

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Positive
  • Question 2

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Positive
  • Question 3

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Negative
  • Question 4

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Zero
  • Question 5

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Negative
  • Question 6

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Positive
  • Question 7

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Positive
  • Question 8

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Infinity
  • Question 9

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Infinity
  • Question 10

Look at the red line and state whether its gradient is positive, negative, zero or infinity.

 

CORRECT ANSWER
Negative
---- OR ----

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