Question
A is the point (2, 3) and B is the point (7, -5).
(a) Find the co-ordinates of the midpoint of AB.
( __ , __ ) [2]
(b) Find the equation of the line through A that is perpendicular to AB.
Give your answer in the form y m = +x c.
y = __ [4]
Answer/Explanation
Ans:
23(a) (4.5, − 1)
23(b) [y=] \(\frac{5}{8}x\frac{7}{4}\)
Question
(a) Using a straight edge and compasses only, construct the perpendicular bisector of $A B$ on the diagram above.
(b) Write down the co-ordinates of the midpoint of the line segment joining $A(1,8)$ to $B(7,-4)$.
(c) Find the equation of the line AB.
▶️Answer/Explanation
(a) Bisector
(b) (4, 2)
(c) y = –2x + 10 oe
Question
Find the co-ordinates of the mid-point of the line joining the points $A(2,-5)$ and $B(6,9)$.
▶️Answer/Explanation
(4, 2)