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

50 POINTS This graph represents a proportional relationship What is the constant of proportionality for this relationship 13 12 2 I dont know class=

Respuesta :

We need slope

  • (3,1)
  • (6,2)

[tex]\\ \rm\Rrightarrow m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{2-1}{6-3}[/tex]

[tex]\\ \rm\Rrightarrow m=\dfrac{1}{3}[/tex]

Solution:

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.