Calculating the Rate of Change for a Linear Relationship (AQA A-Level Biology): Quizzes

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Calculating the Rate of Change for a Linear Relationship
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How does a linear relationship appear when plotted on a graph?

As a straight line

In the equation y=mx+cy = mx + c, what does mm represent?

The gradient

What is the key characteristic of the rate of change in a linear relationship?

It is constant throughout

What is the formula for calculating gradient?

change in ychange in x\frac{\text{change in y}}{\text{change in x}}

Where can you position the right-angled triangle when calculating gradient from a linear graph?

Anywhere along the straight line

If y-axis units are g and x-axis units are hours, what are the units for rate of change?

g hour1^{-1}

A line passes through (0,0) and (12,24). What is the gradient?

2

A line passes through (0,66) and (15,21). What is the gradient?

-3

What does a negative gradient indicate about the relationship?

y decreases as x increases

Why must you include the negative sign in your final answer for gradient?

It shows direction of change

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