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C) Use graph paper for this question. Draw the graph of 3x - 2y + 4 = 0and x + y + 3 = 0 on the same a graph by ploting 3 points per line.Write down the co-ordinates of the point of intersection of the twolines. Also find the area of the triangle formed by the line and the y-axis |
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Answer» It is given 3x−2y=4We can also write it as 2y=3x−4y=23x−4 Substituting x=2 in the given equation y=23(2)−4 So we get y=26−4 y=22 By DIVISION y=1 Substituting x=−2 in the given equation y=23(−2)−4 So we get y=2−6−4 y=2−10 By division y=−5 x2 -2y 1-5 Now draw a graph USING the POINTS A(2,1) and B(-2,-5) JOIN the points AB through a line and extend in both the directions It is given x+y−3=0 We can also write it as y=3−x Substituting x=1 in the given equation y=3−1 So we get y=2 Substituting x=−1 in the given equation y=3−(−1) So we get y=4 x 1 -1y 2 4Now draw a graph using the points C(1,2) and D(−1,4) Join the points CD through a line and extend in both the directions. Therefore the coordinates of the point where the two graph lines intersect is A(2,1) |
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