Given that we have a linear equation being also directly proportional, we conclude that the graph of the equation crosses the x-axis at the origin of the Cartesian plane.
Traditionally, a Cartesian plane is generated by two orthogonal axes, a horizontal (x-axis) and a vertical (y-axis). The origin is the point of intersection of the two axes. Linear equations that are directly proportional always cross the x-axis at origin.
y ∝ x
y = k · x (1)
Where k is the proportionality constant.
If we know that y = 0, then we find by (1) that x = 0. Hence, it is true that the graph of the equation cross the x-axis.
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