Question

50 POINTS // This graph represents a proportional relationship.

What is the constant of proportionality for this relationship?

•1/3

•1/2

•2

•I don't know

Answer 1

We need slope

• (3,1)
• (6,2)

`\\ \rm\Rrightarrow m=(y_2-y_1)/(x_2-x_1)`

`\\ \rm\Rrightarrow m=(2-1)/(6-3)`

`\\ \rm\Rrightarrow m=(1)/(3)`

Answer 2

This can be solved using two methods:

Method #1:

• Rise/Run = Slope
• => 1/3 = Slope

The slope is 1/3.

Method #2:

• y₂ - y₁/x₂ - x₁ = Slope
• => 2 - 1/6 - 3 = Slope
• => 1/3 = Slope

The slope is 1/3.

Looking at the two methods, we can conclude that:

The slope of the line is 1/3.