Question -
Answer -
(i) Given : x + y = 4
or y = 4 – x,
Find values of x and y:
Putting x = 0 ⇒ y = 4
Putting x = 4 ⇒ y = 0
Graph:
Mark points (0, 4) and (4, 0) on the graph and join them.
(ii) Given: x – y = 2
So, y = x – 2
Putting x = 0 ⇒ y = – 2
Putting x = 2 ⇒ y = 0
Graph:
Mark points (0, -2) and (2, 0) on the graph and join them.
(iii) Given: – x + y = 6
So, y = 6 + x
Putting x = 0 ⇒ y =6
Putting x = -6 ⇒ y = 0
Graph:
Mark points (0, 6) and (-6, 0) on the graph and join them.
(iv) Given: y = 2x
Put x = 1 ⇒ y = 2
Put x = 3 ⇒ y = 6
Graph:
Mark points (1, 2) and (3, 6) on the graph and join them.
(v) Given: 3x + 5y = 15
Or 5y = 15 – 3x
Putting x = 0 ⇒ 5y = 15 ⇒ y =3
Putting x = 5 ⇒ 5y = 0 ⇒ y = 0
Graph:
Mark points (0, 3) and (5, 0) on the graph and join them.
(vi) Given: x/2 – y/3 = 2
3x – 2y = 12
y = (3x–12)/2
Putting x = 0 ⇒ y = -6
Putting x = 4 ⇒ y = 0
Graph:
Mark points (0, -6) and (4, 0) on the graph and join them.
(vii) Given: (x −2)/3 = y − 3
x – 2 = 3(y – 3)
x – 2 = 3y – 9
x = 3y – 7
Now, put x = 5 in x = 3y – 7
y = 4
Putting x = 8 in x = 3y – 7,
y = 5
Graph:
Mark points (5, 4) and (8, 5) on the graph and join them.
(viii) Given: 2y = – x +1
2y = 1 – x
Now, putting x = 1 in 2y = 1 – x, we get;
y = 0
Again, putting x = 5 in 2y = 1 – x, we get;
y = -2
Graph:
Mark points (1, 0) and (5, -2) on the graph and join them.