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Mathematics

Draw the graph of equation x + 2y - 3 = 0. From the graph, find :

(i) x1, the value of x, when y = 3

(ii) x2, the value of x, when y = -2.

Coordinate Geometry

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Answer

Step 1:

Give at least three suitable values to the variable x and find the corresponding values of y.

Let x = -1, then (-1) + 2y - 3 = 0 ⇒ y = 2

Let x = 0, then 0 + 2y - 3 = 0 ⇒ y = 1.5

Let x = 1, then 1 + 2y - 3 = 0 ⇒ y = 1

Step 2:

Make a table (as given below) for the different pairs of the values of x and y:

x-101
y21.51

Step 3:

Plot the points, from the table, on a graph paper and then draw a straight line AB passing through the points plotted on the graph.

Draw the graph of equation x + 2y - 3 = 0. From the graph, find : Co-ordinate Geometry, Concise Mathematics Solutions ICSE Class 9.

(i) To find x1, the value of x, when y = 3:

Through the point y = 3, draw a horizontal straight line which meets the line AB at point C. Through point C, draw a vertical line which meets the x-axis at x = -3.

Hence, the value of x, when y = 3 is -3 , i.e, x1 = -3.

(ii) To find x2, the value of x, when y = -2:

Through the point y = -2, draw a horizontal straight line which meets the line AB at point D. Now, through point D, draw a vertical line which meets the y-axis at x = 7.

Hence, the value of x, when y = -2 is 7 , i.e, x2 = 7.

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