Length, midpoint, gradient and equation from two points

Length, midpoint, gradient and equation from two points

Secondary 3
6 marks
Original parallel to AM 360 Guided Practice (Geometry and Trigonometry)

The diagram shows the points \(A(-7,\ 5)\) and \(B(5,\ -4)\).

Find

  1. the length of \(AB\),[2]
  2. the coordinates of the midpoint of \(AB\),[1]
  3. the gradient of \(AB\),[1]
  4. the equation of \(AB\).[2]

Video Solution:

Video Solution

Video solution locked

Solution:

Solution locked

Sign in to view the step-by-step solution

Similar questions are unavailable for this question.
Answer:(i) \(15\text{ units}\) (ii) \(\left(-1,\dfrac12\right)\) (iii) \(-\dfrac34\) (iv) \(y=-\dfrac34x-\dfrac14\), or \(3x+4y+1=0\)

Need help? Join our JC Math tuition classes.

Learn more