Co-ordinate Geometry

Year 10 Maths: Chapter 3

In this topic you learnt:

  1. Distance, midpoint, gradient
  2. Parallel and perpendicular lines
  3. Graphing linear equations
  4. The gradient-intercept equation (y=mx+b)
  5. General form (ax + by + c = 0)
  6. Point-gradient form
  7. Finding the equation of a line
  8. Equations of parallel and perpendicular lines

1. Length, midpoint and gradient of an interval

You will need to use the formulae below. I have also hyperlinked videos for each of the formulae

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2. Parallel and perpendicular lines

Parallel lines have the same gradient

Perpendicular lines have gradients whose product is -1

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3. Graphing linear equations

  • To find the x-intercept, substitute in y=0 and solve the equation
  • To find the y-intercept, substitute in x=0 and solve the equation
  • A point lines on a line if its (x, y) coordinates satisfy the equation of the line

Horizontal and vertical lines:

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Algebra - How to Find Slope, Y-Intercept and Graph a Line

4. The gradient-intercept form y=mx + b

The equation of a straight line is y=mx + b where m is the gradient, and b is the y-intercept
Beginning with the y=mx+b format

5. General form ax + by + c = 0

A linear equation can be written in the form ax + by + c = 0, where a,b, and c are integers and a is positive.

To find the gradient of this line we write m= - b/a

Changing from slope-intercept form to general form

6. Point gradient form

You need to be able to find the equation of a line using the point-gradient formula. You may be given the gradient or you may have to find it.
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7. Finding the equation of a line

There was no formulae for this section.

8. Equations of parallel and perpendicular lines

For parallel and perpendicular lines...
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