Everything Maths Grade 10

2.Calculate the coordinates of the mid-point (M) between pointA( 2 ; 1 )and pointB( 1 ;3,5)in the

following diagram:

 3  2  1 1 2 3

 4

 3

 2

 1

1

2

A(2; 1)

B(1;j,8)

M(x;y)

x

y

3.Find the mid-points of the following lines:

a) A(2; 5),B(4; 7) b)C(5; 9),D(23; 55) c) E(x+2;y1),F(x5;y4)

4.The mid-pointMofP Qis(3; 9). FindPifQis(2; 5).

5.P QRSis a parallelogram with the pointsP(5; 3),Q(2; 1)andR(7;3). Find pointS.

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1.2GDG 2.2GDH 3a.2GDJ 3b.2GDK 3c.2GDM 4.2GDN 5.2GDP

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8.5 Chapter summary EMA6J

See presentation:2GDQatwww.everythingmaths.co.za

• A point is an ordered pair of numbers written as(x;y).


• Distance is a measure of the length between two points.


• The formula for finding the distance between any two points is:

d=

√

(x 1 x 2 )^2 + (y 1 y 2 )^2

• The gradient between two points is determined by the ratio of vertical change to horizontal change.


• The formula for finding the gradient of a line is:

m=

y 2 y 1

x 2 x 1

• A straight line is a set of points with a constant gradient between any two of the points.


• The standard form of the straight line equation isy=mx+c.


• The equation of a straight line can also be written as

yy 1

xx 1

=

y 2 y 1

x 2 x 1

314 8.5. Chapter summary