Question 8 Which of the following points would be found on the line that is graphed by the direct variation equation $$ y=3.5 x $$ ? Select all that apply. $$ \begin{array}{l}\square ext { A) }(0,1) \ \square \ \square \ \square \ \square\end{array}(0,3,5) $$ $$ \square $$ (D) $$ (1,3,0) $$ $$ \square $$ E) $$ (3.5,1) $$ $$ \square $$ F) $$ (10,35) $$

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Question 8 Which of the following points would be found on the line that is graphed by the direct variation equation $$ y=3.5 x $$ ? Select all that apply. $$ \begin{array}{l}\square 	ext { A) }(0,1) \ \square \ \square \ \square \ \square\end{array}(0,3,5) $$ $$ \square $$ (D) $$ (1,3,0) $$ $$ \square $$ E) $$ (3.5,1) $$ $$ \square $$ F) $$ (10,35) $$

UpStudy AI · Accepted Answer

To determine which points lie on the line represented by the direct variation equation $$ y = 3.5x $$, we need to verify each point by substituting the $$ x $$- and $$ y $$-values into the equation.

**Direct Variation Equation:**  
$$ y = 3.5x $$

Let's evaluate each option:

1. **A) $$ (0, 1) $$**  
   Substitute $$ x = 0 $$ and $$ y = 1 $$:  
   $$ 1 = 3.5(0) $$  
   $$ 1 = 0 $$  
   **Not true.**  
   **Conclusion:** Point A is **not** on the line.

2. **D) $$ (1, 3.0) $$**  
   *(Assuming the point is $$ (1, 3.0) $$ since $$ (1, 3, 0) $$ appears to be a 3D coordinate, which isn't applicable here.)*  
   Substitute $$ x = 1 $$ and $$ y = 3.0 $$:  
   $$ 3.0 = 3.5(1) $$  
   $$ 3.0 = 3.5 $$  
   **Not true.**  
   **Conclusion:** Point D is **not** on the line.

3. **E) $$ (3.5, 1) $$**  
   Substitute $$ x = 3.5 $$ and $$ y = 1 $$:  
   $$ 1 = 3.5(3.5) $$  
   $$ 1 = 12.25 $$  
   **Not true.**  
   **Conclusion:** Point E is **not** on the line.

4. **F) $$ (10, 35) $$**  
   Substitute $$ x = 10 $$ and $$ y = 35 $$:  
   $$ 35 = 3.5(10) $$  
   $$ 35 = 35 $$  
   **True.**  
   **Conclusion:** Point F is **on** the line.

**Summary:**  
Only **Option F** $$ (10, 35) $$ satisfies the equation $$ y = 3.5x $$ and lies on the line.

**Answer:** **F) $$ (10, 35) $$**
The point $$ (10, 35) $$ lies on the line represented by the equation $$ y = 3.5x $$.

Question 8
Which of the following points would be found on the line that is graphed by the direct variation equation ? Select all that apply.

(D)
E)
F)

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Question 8 Which of the following points would be found on the line that is graphed by the direct variation equation ? Select all that apply. (D) E) F)