CO-ORDINATE GEOMETRY

8. The distance between the points (a, 0) and (0, a) is equal to the distance between the
points (1, 2) and (1, 3). Find the possible values of a.
{Hint: using the distance formula, the distance between (a, 0) and (0, a) is
2
2
( 0 ) + ( aawhich 0) equals
2
2a
etc.}
9. By rearranging the following straight line formulas into the form y = mx + c (if
needed) find the gradients and intercepts of the lines.
a) y = 3x + 1. b) y = 4x 1. c) y = 3 + 2x.
d) y = 2 3x. e) y + 3x = 1. f) y 4x = 3.
g) 2x + y = 7. h) 2y = 2 + 6x. i) 3y + 9x = 12.
j) 2y 8 = 2x. k) y x + 2 = 0. l) y + 4x 1 = 0.
m) 2y = 6 + 3x. n) 2y = 2 5x. o) 3y + 2x = 9.
p) 3y 3x = 6. q) 7 = 2x y. r) 6x = 2 2y.
s) y = x + 2. t) y = 2 3x. u) 2y = 4 x.
v) 2x + y = 0. w) 6x 3y = 9. x) 7x + 3y = 9.
y) x + 2y + 7 = 0. z) y = 7.
10. 8 points have co-ordinates as follows.
A(3, 4) B(6, 10) C(8, 3) D(6, 2) E(0, 5)
F(4, 7) G(1, 4) H(4, 2).
11
y
10
B
9
8
7
6
5
H
4
3
2
A
C
1
0
-5 -4 -3 -2 -1 0
-1
1 2 3 4 5 6 7 8
x
9
-2
D
G
-3
-4
-5
E
F
-6
-7
-8
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