Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa.
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Solution
Let the abscissa of the point be x.
According to the question.
Ordinate, y=3×Abscissa⇒y=3x
When x = 1, y = 3 × 1 = 3 and when x = 2, y = 3 × 2 = 6 (taking some random point). x12y36
Here, we find two points A(1, 3) and B(2, 6). Draw the graph by plotting the points and joining the line AB.
Hence, y = 3x is the required equation such that each point on its graph has an ordinate 3 times its abscissa.