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Mathematics

Draw the line 2x - 3y - 18 = 0 on a graph paper. From the graph paper, read the y-intercept of the line.

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 = 0, then 2 ×\times 0 - 3y - 18 = 0 ⇒ y = -6

Let x = 3, then 2 ×\times 3 - 3y - 18 = 0 ⇒ y = -4

Let x = 6, then 2 ×\times 6 - 3y - 18 = 0 ⇒ y = -2

Let x = 9, then 2 ×\times 9 - 3y - 18 = 0 ⇒ y = 0

Step 2:

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

x0369
y-6-4-20

Step 3:

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

Draw the line 2x - 3y - 18 = 0 on a graph paper. From the graph paper, read the y-intercept of the line. Co-ordinate Geometry, Concise Mathematics Solutions ICSE Class 9.

From the graph, y-intercept of the line = OB = -6.

Hence, y-intercept of the line = -6.

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