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Mathematics

Use the table given alongside to draw the graph of a straight line. Find, graphically, the values of a and b.

x123a
y-2b4-5

Coordinate Geometry

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Answer

Steps of construction :

  1. Plot the points (1, -2) and (3, 4) on graph paper.

  2. Connect the points through a straight line.

  3. Take a point C (x = 2) and draw a line parallel to y-axis touching the graph at point B.

  4. From point B draw a line parallel to x-axis and touching y-axis at point A (y = 1).

Use the table given alongside to draw the graph of a straight line. Find, graphically, the values of a and b. Coordinate Geometry, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

From graph,

B = (2, 1)

Comparing it with (2, b) we get :

b = 1.

Also, the graph touches y-axis at (0, -5).

Comparing it with (a, -5) we get :

a = 0.

Hence, a = 0 and b = 1.

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