Question

This graph shows a proportional relationship.

Answer 1

Answer-

The constant of proportionality is  $\dfrac{9}{8}$

Solution-

The constant of proportionality is the slope of the line, representing the relationship between the two variables.

The line passes through origin (0, 0) and $(\frac{2}{3},\frac{3}{4})$

We know that slope 'm' of the line joining (x₁, y₁) and (x₂, y₂) is,

$m=\dfrac{y_2-y_1}{x_2-x_1}$

Putting the values,

$m=\dfrac{\frac{3}{4}-0}{\frac{2}{3}-0}$

$=\dfrac{\frac{3}{4}}{\frac{2}{3}}$

$=\dfrac{3\times 3}{2\times 4}$

$=\dfrac{9}{8}$

Answer 2

Not quite sure but:
2/3 = 3/4
divide all by 2/3 to get a 1 value so
1 = 0.8