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The graph of a linear equation in x and y passes through (4, 0) and (0, 3). Find the value of k if the graph passes through (k, 1.5).

Coordinate Geometry

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Answer

Steps of construction :

  1. Plot the points (4, 0) and (0, 3) on graph.

  2. Connect the points through a straight line.

  3. Take a point Q (y = 1.5) and draw a line parallel to x-axis touching the graph at point R.

  4. From point R draw a line parallel to y-axis and touching x-axis at point S (x = 2).

The graph of a linear equation in x and y passes through (4, 0) and (0, 3). Find the value of k if the graph passes through (k, 1.5). Coordinate Geometry, ML Aggarwal Understanding Mathematics Solutions ICSE Class 9.

From graph R = (2, 1.5)

Comparing point R with (k, 1.5), we get :

k = 2.

Hence, the value of k = 2.

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