The constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3
For us to determine the constant of proportionality of the given graph, we must first find the equation of the line.
The standard equation of a line is expressed as y = mx + b
Using the coordinate points (0, 0) and (2, 6)
Get the slope "m"
[tex]m=\frac{6-0}{2-0}\\m=\frac{6}{2}\\m=3[/tex]
Since the line passed through the origin, the y-intercept is 0
Get the required equation:
y = mx + b
y = 3x + 0
y = 3x
From the equation, the constant of proportionality is 3. The relationship that will have the same constant of proportionality will also have a slope of 3
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