Question

which equation represents the relation that is shown in the graph?

Explanation:

Identify the key points from the graph

Using the Graphing Proportional Relationships knowledge point

$$ (x, y) = (2, 7), \quad (x, y) = (4, 14), \quad (x, y) = (0, 0) $$

Calculate the constant of proportionality

Using the Constant of Proportionality knowledge point

$$ k = \frac{y}{x} = \frac{7}{2} = 3.5 $$

Write the proportional relationship equation

Using the Proportional Relationship Equation knowledge point

$$ y = 3.5x $$

Answer:

Which equation represents the relation that is shown in the graph? <blank>\(y = 3.5x\)</blank>