157k views
1 vote
if the output and input of a linear equation are proportional, whare will the graph of the equation cross the x axis

User SmootQ
by
8.0k points

1 Answer

5 votes

Answer:

at x=0 (the origin)

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.

User Sai Anudeep
by
8.8k points

Related questions

asked Jul 9, 2024 69.1k views
Recusiwe asked Jul 9, 2024
by Recusiwe
8.8k points
1 answer
2 votes
69.1k views
1 answer
4 votes
126k views