if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

1 thought on “if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis”

  1. Answer:
      at x=0 (the origin)
    Step-by-step explanation:
    The equation for a proportional relationship is …
      y = kx
    The equation of a straight line is …
      y = kx +b . . . . . for some y-intercept b

    Comparison to general line

    Comparing the proportional relation to the relation for a general line, we see that b=0 in the proportional relation. That is, the y-intercept is at y=0, the origin of the Cartesian coordinate plane.
    The graph crosses the x-axis at (0, 0), or x=0.
    __
    Additional comment
    In y=kx, the value k is called “the constant of proportionality.” It is also the slope of the line on a graph.
    In the usual representation of the slope-intercept equation of a line, y=mx+b, the slope of the line is represented by ‘m’. In the above, we used ‘k’ for that purpose, to facilitate comparing the equations.

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