Everything Maths Grade 10

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

Let the coordinates ofGbe(x 1 ;y 1 )and the coordinates ofHbe(x 2 ;y 2 )

x 1 = 7 y 1 = 9 x 2 =x y 2 = 0

Step 3: Write down the formula for gradient

m=

y 2 y 1

x 2 x 1

Step 4: Substitute values and solve for x

3 =

0 (9)

x 7

3 (x7) = 9

x7 =

9

3

x7 = 3

x= 3 + 7

= 10

Step 5: Write the final answer

The coordinates ofHare(10; 0).

Thereforex= 10.

Exercise 8 – 3:

1.Find the gradient ofABif:

a) A(7; 10)andB(4; 1) b)A(5;9)andB(3; 2) c) A(x3;y)andB(x;y+ 4)

2.You are given the following diagram:

 2  1 1 2 3

1

2

3

A(1; 2)

B(2;y,8)

x

y

Calculate the gradient (m) of lineAB.

296 8.3. Gradient of a line