Practice the questions given in the worksheet on graphing linear equation. The questions are based on based on graphing linear equation on co-ordinate graph.

**1.** If the point (6, 7) lie on the graph of the equation 3y = mx + 3, find the value of ‘m’.

**2.** Write the equation of two lines passing through (4, 10). How many more such lines are there and why?

**3.** **Draw the graph of the following equations:**

(i) y = 2x

(ii) y = 5x

(iii) y = 8

(iv) y = -10

(v) y = x

(vi) y = -x

(vii) y = -3x

(viii) y = -4x

**4. Draw the graph of
the following equations:**

(i) x = 2

(ii) x = 3

(iii) x = 4

(iv) x = 5

(v) x = 7

(vi) x = -2

(vii) x = -5

(viii) x = -10

**5. Draw the graph of
the following equations:**

(i) y = 3x + 1

(ii) y = 2x – 3

(iii) y = 5x – 2

(iv) y = 6 – 2x

**6. Draw the graph of
each of the following:**

(i) x + 3y = 9

(ii) x + y – 3 = 0

(iii) x + 2y = 5

(iv) x + y = 7

(v) x – 2y = 4

(vi) x – y = -5

**7. Draw the graph of
the following linear equations:**

(i) 3x = 2y

(ii) 2x – y = 0

(iii) 2x – 3y = 8

(iv) 3x + 2y = 7

(v) 2x – 7y = 8

(vi) 3x = 4 – 2y

(vii) 2x + 5y = 12

(viii) 5x = 1 – 2y

**8.** Draw the graph
of the equation 3x – 4y = 12. Use this graph to find the point of intersection
of x – axis and y – axis. Also find the co-ordinates of point A where the graph
meets x-axis. Also, find the co-ordinates of point B where the graph meets
y-axis.

Answers for the worksheet on graphing linear equation are
given below to check the exact answers of the above questions using graphs to
solve the equations.** **

**Answers:**

**1.** m = 3

**2.** (i) x + y = 14 (ii)
y = x + 6

**8.** Intersection of x – axis = 4, intersection of y – axis =
-3

Co-ordinates of point A is (4, 0) and co-ordinates of point B is (0, -3)

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