Finding the Gradient of a Straight Line

What does the gradient of a straight line tell us?

• The gradient of a line is the measure of the steepness of a straight line

• The gradient of a line is the measure of the height of a straight line

• The gradient of a line is the measure of the length of straight line

• The gradient of a line is the measure of the sharpness of a straight line

In which direction do lines with positive gradients go?

• Lines have a positive gradient as they travel in a downwards direction from left to right.

• Lines have a positive gradient as they travel in an upwards direction from left to right.

Give some examples of where straight line graphs are found.

• When recording the heart beat

• When converting from one unit of currency to another

• When measuring students' height against their age

• When plotting the type of transport that students travel to school in

How do we find the gradient of a straight line? ​ (a)  

• change in y ÷ change in 𝛞
• change in 𝛞 ÷ change in y

How do we find the gradient of a straight line? ​ (a)  

• rise ÷ run
• run ÷ rise

What is the formula for calculating the gradient?

​ (a)   divided by the ​ (b)  

• rise
• run

How do we determine if the gradient is positive? The slope goes ​ (a)  

• upwards from left to right
• downwards from left to right

How do we determine if the gradient is negative? The slope goes ​ (a)  

• upwards from left to right
• downwards from left to right

What is the gradient of this line?

• 1/3

• 3/1

• -3

What is the gradient of this line?

• 3/1

• 1/3

• -3