Mathematics 0580 · IGCSE · Length and midpoint

Length and midpoint — practice question

The diagram illustrates a straight line segment joining the points $A(-3,4)$ and $B(6,-2)$.
(a)[3]

Calculate the length of $AB$.

(b(i))[2]

Find the coordinates of the mid-point of the line $PQ$.

(b(ii))[2]

Find the gradient of the line $PQ$.

(b(iii))[3]

Find the equation of a line perpendicular to $PQ$ that passes through the point $(2,3)$.

Worked solution & mark scheme

This 10-mark question has a full step-by-step worked solution and mark scheme. One marking point: The required length is $10.8$.

  • Full mark scheme, point by point
  • Step-by-step worked solution
  • Write your answer & get it marked instantly by AI