Which point is on the graph of a direct variation equation in which k=0.4? a. (4,10)b. (10,4)c. (0.04,10)d. (10,0.04)

B. (10,4)

Step-by-step explanation:

Let x be the independent variable and y represents the dependent variable in the graph,

∵Graph represents the direct variation,

⇒ y ∝ x

⇒ y = kx

Where, k is the proportionality constant.

Here, k = 0.4,

⇒ Equation that shows in the graph would be,

y = 0.4x

At (4, 10),

10 = 0.4(4) ( False ),

⇒ (4, 10) is not in the graph.

At (10, 4),

4 = 0.4(10) ( True )

⇒ (10, 4) is on the graph.

At (0.04, 10),

10 = 0.4(0.04) ( false )

⇒ (0.04, 10) is not on the graph.

At (10, 0.04),

0.04 = 0.4(10) ( false )

⇒ (10, 0.04) is not on the graph.