Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa
Solution:
Given, ordinate is 3 times its abscissa
We have to write the linear equation of the graph.
The y-coordinate is times its x-coordinate.
So, y = 3x
When x = 1,
y = 3(1)
y = 3
When x = 2,
y = 3(2)
y = 6
Therefore, the points are (1, 3) and (2, 6)
Plotting the points (1, 3) and (2, 6) on the graph,
Joining the points we obtain a straight line AB whose equation is y = 3x
Therefore, the linear equation is y = 3x.
✦ Try This: Write the linear equation such that each point on its graph has an ordinate 4 times its abscissa.
☛ Also Check: NCERT Solutions for Class 9 Maths Chapter 4
NCERT Exemplar Class 9 Maths Exercise 4.3 Problem 5
Write the linear equation such that each point on its graph has an ordinate 3 times its abscissa
Summary:
A linear equation is an equation in which the highest power of the variable is one. The linear equation such that each point on its graph has an ordinate 3 times its abscissa is y = 3x
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