Question

Problem Lines AAA, BBB, and CCC show proportional relationships. Which line has a constant of proportionality between yyy and xxx of 333? Choose 1 answer:

Answer 1

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:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{1-0}(x-0)\\\\y=5x$

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:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{5-0}{3-0}(x-0)\\\\y=\frac{5}{3} x$

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:

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-0=\frac{2-0}{3-0}(x-0)\\\\y=\frac{2}{3} x$

The constant of proportionality between y and x is 2/3.