Question

A witch brewed a magical invisibility potion.

Answer 1

The constant of proportionality will be same as the slope of the line. Let's take two points from the line: (0,0) and (1,2)

The slope for a line that passes through two points $(x_1,y_1)$ and $(x_2,y_2)$ is:

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

Substitute the two points into this formula for slope and we have:

$=\dfrac{2-0}{1-0}$

After solving and simplifying, we get

$=2$

Thus, the slope of the line is 2. This means that the constant of proportionality is 2. Let me know if you need any clarifications, thanks!

~ Padoru

Answer 2

Answer:

The constant proportionality is 2

Step-by-step explanation:

Step 1:  Find two points

To find the proportional relationship, you need to identify two points.

(x1, y1) -> (1, 2) is a point

(x2, y2) -> (2, 4) is a point

Step 2:  Find the slope/proportional relationship

Slope = $\frac{y2-y1}{x2-x1}$

Slope = $\frac{4-2}{2-1}$

Slope = $\frac{2}{1}$

Slope = 2

Answer:  The constant proportionality is 2