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2 years ago

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

Mathematics

1 answer:

sineoko [7]2 years ago

5 0

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

<h3>Comparison to general line</h3>

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.

<em>Additional comment</em>

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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