Linear Equations

The equation for a straight line is $y = m x + c$
y and x are values on the graph
c is the y intercept
m is the gradient, which affects the slope of the curve
The larger the gradient, the sharper the slope $m = \frac{r i se}{r u n} = \frac{y _{2} - y _{1}}{x _{2} - x _{1}}$
For perpendicular lines, the product of the 2 gradients = -1
- i.e., the gradients are the negative reciprocals of each other
For parallel lines, the gradients are identical to each other
To find where 2 lines intersect, equate the equations, i.e.: $m_{1} x + c_{1} = m_{2} x + c_{2}$
The midpoint of 2 points is calculated as such $\frac{x _{1} + x _{2}}{2}, \frac{y _{1} + y _{2}}{2}$
The distance between 2 points is calculated as such $(x_{2} - x_{1}) + (y_{2} - y_{1}))$
That’s all I had to know for Year 11, your curriculum may be different

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