Question

This graph shows a proportional relationship. What is the constant of proportionality? Enter your answer as a ratio in simplified form in the box. $$ A graph with a line running through coordinates left parenthesis 0 comma 0 right parenthesis and coordinates left parenthesis 2 over 3 end fraction comma 3 over 4 end fraction right parenthesis.
plezz help fro a mager test

Answer 1

Answer:

$\frac{9}{8}$

Step-by-step explanation:

The constant of proportionality is the slope, k,  of the line in the formula:

$y = kx$

The constant of proportioanlity can be calculated using the formula for slope:

$k=\frac{y_{1}-y_{2}}{x_{1}-x_{2}}\\\\k=\frac{\frac{3}{4}-0}{\frac{2}{3}-0}\\\\k=\frac{\frac{3}{4}}{\frac{2}{3}}\\\\k=\frac{3}{4} *\frac{3}{2} \\\\k=\frac{9}{8}$

Answer 2

The answer is 5/4. I just took the test.