Determine the gradient of the line that
joins the given points.
1.1 A(2 ; 3) and B(4 ; 7)
[ A 1.1 ]
1.2 C(1 ; 3) and D(6 ; 18)
[ A 1.2 ]
1.3 K(−7 ; −17) and L(−4 ; −2)
[ A 1.3 ]
1.4 P(−5 ; −7) and Q(3 ; −23)
[ A 1.4 ]
1.5 R(−7 ; −2) and S(−1 ; 6)
[ A 1.5 ]
1.6 A(−6 ; −8) and B(3 ; −13)
[ A 1.6 ]
Determine the unknown coordinates of the
points if the gradient of the
line is given :
2.1 A(5 ; 4) ; B(b ; 10) and m(AB) = 2
[ A 2.1 ]
2.2 C(3 ; 12) ; D(7 ; d) and m(CD) = −2
[ A 2.2 ]
2.3 K(k ; 6) ; L(10 ; −4) and m(KL) = −1
[ A 2.3 ]
2.4 P(−8 ; p) ; Q(−3 ; −4) and m(PQ) = 0,8
[ A 2.4 ]
2.5 R(−8 ; r) ; S(2 ; −12) and m(RS) = −0,8
[ A 2.5 ]
2.6 A(−8 ; 10) ; B(b ; 3) and m(AB) = −0,5
[ A 2.6 ]
Are the three given points collinear?
3.1 A(−3 ; 2) ; B(2 ; 12) and C(7 ; 22)
[ A 3.1 ]
3.2 D(−7 ; 8) ; E(−2 ; −2) and F(8 ; −22)
[ A 3.2 ]
3.3 G(−5 ; −7) ; H(−3 ; −3) and I(1 ; 5)
[ A 3.3 ]
3.4 K(−7 ; −9) ; L(−2 ; 6) and M(5 ; 8)
[ A 3.4 ]
3.5 P(−4 ; 7) ; Q(1 ; 2) and R(5 ; −5)
[ A 3.5 ]
3.6 A(1 ; 16) ; B(4 ; 10) and C(15 ; −12)
[ A 3.6 ]
Write down the gradient of the line
that is (a) parallel and (b) perpendicular
to the line that is formed by
the given points :
4.1 A(−6 ; 2) and B(−4 ; 6)
[ A 4.1 ]
4.2 C(−2 ; 8) and D(4 ; −10)
[ A 4.2 ]
4.3 E(−3 ; 6) and F(1 ; 20)
[ A 4.3 ]
4.4 G(3 ; 11) and H(9 ; 1)
[ A 4.4 ]