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 0 - 3y - 18 = 0 ⇒ y = -6
Let x = 3, then 2 3 - 3y - 18 = 0 ⇒ y = -4
Let x = 6, then 2 6 - 3y - 18 = 0 ⇒ y = -2
Let x = 9, then 2 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:
x | 0 | 3 | 6 | 9 |
---|---|---|---|---|
y | -6 | -4 | -2 | 0 |
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.

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