Q13 of 56 Page 13

Draw the graph of the equation 2x+y=6. Shade the region bounded by the graph and the coordinate axes. Also, find the area of the shaded region.

2x + y = 6



It cuts the coordinate axis at (3, 0) and (0, 6)


Area of the region = (1/2) × 3 × 6 = 9 sq. unit


More from this chapter

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11

Draw the graph of the equation 2x+3y=12. From the graph, find the coordinates of the point.

(i) whose y-coordinates is 3.


(ii) whose x-coordinate is -3.

 12

Draw the graph of each of the equations given below. Also, find the coordinates of the points where the graph cuts the coordinate axes:

(i) 6x–3y=12


(ii) -x+4y=8


(iii) 2x+y=6


(iv) 3x+2y+6=0

 14

Draw the graph of the equation =1. Also find the area of the triangle formed by the line and the coordinates axes.

 15

Draw the graph of y = |x|.