Year 10 Maths: Chapter 3
In this topic you learnt:
- Distance, midpoint, gradient
- Parallel and perpendicular lines
- Graphing linear equations
- The gradient-intercept equation (y=mx+b)
- General form (ax + by + c = 0)
- Point-gradient form
- Finding the equation of a line
- Equations of parallel and perpendicular lines
2. Parallel and perpendicular lines
Parallel lines have the same gradient
Perpendicular lines have gradients whose product is -1
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:
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.
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...