Gradients — Determining the Gradient from Another Line

Find the gradient of a line segment, the midpoint of the line interval and the distance between 2 distinct points on the Cartesian plane.

Worked example

1. Calculate the gradient of line 1$m_{1} = \tfrac{1}{2}$
2. If you need parallel lines, the second line's gradient is the same$m_{2} = \tfrac{1}{2}$
3. If you need perpendicular lines, use $m_{1} \times m_{2} = -1$$m_{1} \times m_{2} = -1$
4. Substitute and solve for $m_{2}$$\tfrac{1}{2} \times m_{2} = -1 \ \therefore \ m_{2} = -2$

Practice

Determine the gradient of the line: