Solve the following:
(a) If the point (a,0) lies on the line x - y = 2, then find the value of a.
(b) Find the point of intersection of y = 6x - 9 with the X axis. [3 MARKS]

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Solution

Sub-part (a) : 1 Mark
Sub-part (b) : 2 Marks

(a) Putting (a, 0) in the equation x – y = 2, we get

a – 0 = 2; a = 2

(b)

At the X axis, y = 0

Putting y = 0 in the equation y = 6x – 9, it reduces to

0 = 6x – 9

6x = 9

x = 1.5

The required point of intersection is (1.5, 0)

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Solve the following: (a) If the point (a,0) lies on the line x - y = 2, then find the value of a. (b) Find the point of intersection of y = 6x - 9 with the X axis. [3 MARKS]

Sub-part (a) : 1 Mark Sub-part (b) : 2 Marks (a) Putting (a, 0) in the equation x – y = 2, we get a – 0 = 2; a = 2 (b) At the X axis, y = 0 Putting y = 0 in the equation y = 6x – 9, it reduces to 0 = 6x – 9 6x = 9 x = 1.5 The required point of intersection is (1.5, 0)

Solve the following:
(a) If the point (a,0) lies on the line x - y = 2, then find the value of a.
(b) Find the point of intersection of y = 6x - 9 with the X axis. [3 MARKS]

Sub-part (a) : 1 Mark
Sub-part (b) : 2 Marks

(a) Putting (a, 0) in the equation x – y = 2, we get

a – 0 = 2; a = 2

(b)

At the X axis, y = 0

Putting y = 0 in the equation y = 6x – 9, it reduces to

0 = 6x – 9

6x = 9

x = 1.5

The required point of intersection is (1.5, 0)