Answer:
The answer is below
Step-by-step explanation:
The correct question is attached.
Two quantities are said to be proportional if as one quantity increases, the other quantity increases. Also, as one quantity decreases, the other quantity decreases.
Given the lines A, B and C. The constant of proportionality can be gotten by getting the equation of the line.
Line A passes through (0,0) and (1, 5). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x[/tex]
The constant of proportionality between y and x is 5.
Line B passes through (0,0) and (3, 5). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x[/tex]
The constant of proportionality between y and x is 5/3.
Line C passes through (0,0) and (3, 2). The equation of line A is given by:
[tex]y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x[/tex]
The constant of proportionality between y and x is 2/3.
