Everything Maths Grade 10

Step 2: Assign values to(x 1 ;y 1 )and(x 2 ;y 2 )

Let the coordinates ofEbe(x 1 ;y 1 )and the coordinates ofFbe(x 2 ;y 2 ).

x 1 = 2 y 1 = 5 x 2 = 3 y 2 = 9

Step 3: Write down the formula for gradient

m=

y 2 y 1

x 2 x 1

Step 4: Substitute known values

mEF=

9 5

3 2

=

4

5

Step 5: Write the final answer

The gradient ofEF=^45

Worked example 4: Gradient between two points

QUESTION

GivenG(7;9)andH(x; 0), withmGH= 3, findx.

SOLUTION

Step 1: Draw a sketch

 2 2 4 6 8 10

 10

 8

 6

 4

 2

2

G(7;9)

H(x; 0)

mGH= 3

x

y

Chapter 8. Analytical geometry 295