Coordinate Geometry - An Introduction Practice 1

This section includes three focused practice questions to help students practise and reinforce the rules and techniques, strengthening understanding of basic coordinate geometry.

Practice 1 - Question 1

The table above shows the value and corresponding value for the equation \(y=\frac{4x+400}{25}\).
  1. Find the values of a and b
  2. Using a scale of 1cm to represent 10 units for \(0\le x\le150\), and a scale of 1cm to represent 2 units for \(0\le y\le44\), plot the points in the table and join them with a straight line
  3. Find the gradient of the graph
  4. Find the corresponding value of \(x\) for \(y=36\)

Practice 1 - Question 2

The diagram above shows a straight line
  1. Find the gradient of the straight line
  2. Write down the equation of this straight line in the form \(y=mx+c\), where m is the gradient and c is the y-intercept.

Practice 1 - Question 3

The diagram shows a sketch of the graph of \(3y=12-2x\). The line crosses the axes at P and Q. Find
  1. the coordinates of P
  2. the coordinates of Q
  3. the gradient of line PQ
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