Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
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Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
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Ask by Bradley Wang. in the United States

Mar 24,2025

Question

Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
and
TUBMIT ANSWER
[ Points] DETAILS
Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
( ) and ( )

Ask by Bradley Wang. in the United States

Mar 24,2025

UpStudy AI · Accepted Answer

**Step 1: Slope Formula**

The slope $$ m $$ between two points $$ (x_1, y_1) $$ and $$ (x_2, y_2) $$ is given by  
$$
m = \frac{y_2 - y_1}{x_2 - x_1}
$$

---

**For Points $$ (1,6) $$ and $$ (2,9) $$:**

1. Identify the coordinates:  
   $$ (x_1, y_1) = (1,6) $$ and $$ (x_2, y_2) = (2,9) $$.

2. Calculate the differences:  
   - Difference in $$ y $$: $$ y_2 - y_1 = 9 - 6 = 3 $$  
   - Difference in $$ x $$: $$ x_2 - x_1 = 2 - 1 = 1 $$

3. Compute the slope:  
$$
m = \frac{3}{1} = 3
$$

---

**For Points $$ (-1,-14) $$ and $$ (6,-14) $$:**

1. Identify the coordinates:  
   $$ (x_1, y_1) = (-1,-14) $$ and $$ (x_2, y_2) = (6,-14) $$.

2. Calculate the differences:  
   - Difference in $$ y $$: $$ y_2 - y_1 = -14 - (-14) = 0 $$  
   - Difference in $$ x $$: $$ x_2 - x_1 = 6 - (-1) = 7 $$

3. Compute the slope:  
$$
m = \frac{0}{7} = 0
$$

---

**Final Answers:**  
- The slope of the line through $$ (1,6) $$ and $$ (2,9) $$ is $$ 3 $$.  
- The slope of the line through $$ (-1,-14) $$ and $$ (6,-14) $$ is $$ 0 $$.
The slope of the line through $$ (1,6) $$ and $$ (2,9) $$ is $$ 3 $$. The slope of the line through $$ (-1,-14) $$ and $$ (6,-14) $$ is $$ 0 $$.

Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
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Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
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Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.) and TUBMIT ANSWER [ Points] DETAILS Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.) ( ) and ( )

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Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
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Find the slope of the line passing through the given points. (If an answer is undefined, enter UNDEFINED.)
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