Q12 of 52 Page 3

Draw the graph for the equation –2x + y – 7 = 0. Check whether the point (-3, -2) is on the given line.

–2x + y – 7 = 0
⇒ y = 2x + 7
x = 1
⇒ y = 2 + 7 = 9
x = 0
⇒ y = 2(0) + 7 = 0 + 7 = 7
x = -2
⇒ y = 2(-2) + 7 = -4 + 7 = 3
x10-2
y973

The point (-3, -2) does not lie on the graph.

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10 Draw the graph of 2(x + 3) – 3 (y + 1) = 0. Read a few solutions from the graph and verify the same by actual substitution. In each case, find the points where the line meets the two axes.         11 Plot the points A (4, 4), B (-4, 4) and join OA, OB and BA. What figure do you obtain ? 13 In each case find the points where the line meets the two axes.
         (i) 2x + y = 6
        (ii)  x - 2y = 4
        (iii) 2(x - 1) + 3y = 4
        (iv) y - 3x = 9
        (v)  2(x + 3) - 3(y + 1) = 0
        (vi) (x - y) - y + 4 = 0 14 Find at least 3 solutions for the following linear equation in two variables: 2x + 5y = 13