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If the output and input of a linear equation are proportional, the graph of the equation cross the x-axis at (0, 0).
What are proportional functions?
In any function, the amount of one quantity is dependent on the amount of another. All proportional functions use a rate in the same way. We call the rate the constant of variation, or the constant of proportionality. It’s a constant because this number does not change within the function. Because the input and output are linked by a constant, changes in the independent variable cause the dependent variable to change in a proportional, steady way.
y ∝ x
⇒ y = kx
where k is the constant of proportionality.
For the graph of this function to cross x axis, y = 0
When y = 0 and k is some non zero constant value, x = 0
Thus, the coordinate at which the graph of the function crosses x axis is (0, 0).
Learn more about proportional functions here
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