Draw the graph of each of the following linear equations in two variables:
(i) x+y=4
(ii) x-y=2
(iii) -x+y=6
(iv) y=2x
(v) 3x+5y=15
(vi) =2
(vii) =y-3
(viii) 2y= -x+1
(i) x + y = 4
It passes through (0, 4) and (4, 0)
(ii) x – y = 2
It passes through (0, -2) and (2, 0)
(iii) –x + y = 6
It passes through (0, 6) and (-6, 0)
(iv) y = 2x
It passes through (0, 0)
(v) 3x + 5y = 15
It passes through (5, 0) and (0, 3)
(vi) x/2 – y/3 = 2
It passes through (4, 0) and (0, - 6)
(vii) (x – 2)/3 = y – 3
⇒ x – 3y + 7 = 0
It passes through (-7, 0) and (0, 7/3)
(viii) 2y = -x + 1
It passes through (0, 1/2) and (1, 0)