The X and Y coordinates (in feet) of station Shore are 653387.06 and 395027.52, respectively, and those for station Rock are 651991.62 and 391634.06, respectively. Part A What is the slope of the line? Express your answer to six significant figures. m= Submit Part B b= VE ΑΣΦ ↓↑ vec 1 What is the y-intercept of the line? Express your answer in feet to six significant figures. Submit Request Answer IVE ΑΣΦ | 41 Ivec Request Answer ? ? ft
The X and Y coordinates (in feet) of station Shore are 653387.06 and 395027.52, respectively, and those for station Rock are 651991.62 and 391634.06, respectively. Part A What is the slope of the line? Express your answer to six significant figures. m= Submit Part B b= VE ΑΣΦ ↓↑ vec 1 What is the y-intercept of the line? Express your answer in feet to six significant figures. Submit Request Answer IVE ΑΣΦ | 41 Ivec Request Answer ? ? ft
Chapter2: Loads On Structures
Section: Chapter Questions
Problem 1P
Related questions
Question
![### Understanding Coordinates and Linear Equations
The **X** and **Y** coordinates (in feet) of station Shore are 653387.06 and 395027.52, respectively, and those for station Rock are 651991.62 and 391634.06, respectively.
#### Part A: Finding the Slope of the Line
**Question:**
What is the slope of the line?
**Instructions:**
Express your answer to six significant figures.
**Input Field:**
```plaintext
m =
```
[Submit Button] [Request Answer Button]
#### Part B: Finding the Y-Intercept of the Line
**Question:**
What is the y-intercept of the line?
**Instructions:**
Express your answer in feet to six significant figures.
**Input Field:**
```plaintext
b =
```
[Submit Button] [Request Answer Button]
### Explanation:
To find the slope (m) of the line passing through the two given points, use the formula:
\[ m = \frac{(Y_2 - Y_1)}{(X_2 - X_1)} \]
Where:
- \((X_1, Y_1)\) = Coordinates of station Shore = \((653387.06, 395027.52)\)
- \((X_2, Y_2)\) = Coordinates of station Rock = \((651991.62, 391634.06)\)
Calculate:
\[ m = \frac{(391634.06 - 395027.52)}{(651991.62 - 653387.06)} \]
To find the y-intercept (b), use the equation of the line in slope-intercept form:
\[ Y = mX + b \]
Select either point to plug in values for Y, X, and the calculated slope (m) to solve for b.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F0c91e8d4-c182-4876-82b1-3c6b4fa1f835%2F11f4c4c4-a9ca-4f7d-9360-a07c46665099%2F4rrppys_processed.png&w=3840&q=75)
Transcribed Image Text:### Understanding Coordinates and Linear Equations
The **X** and **Y** coordinates (in feet) of station Shore are 653387.06 and 395027.52, respectively, and those for station Rock are 651991.62 and 391634.06, respectively.
#### Part A: Finding the Slope of the Line
**Question:**
What is the slope of the line?
**Instructions:**
Express your answer to six significant figures.
**Input Field:**
```plaintext
m =
```
[Submit Button] [Request Answer Button]
#### Part B: Finding the Y-Intercept of the Line
**Question:**
What is the y-intercept of the line?
**Instructions:**
Express your answer in feet to six significant figures.
**Input Field:**
```plaintext
b =
```
[Submit Button] [Request Answer Button]
### Explanation:
To find the slope (m) of the line passing through the two given points, use the formula:
\[ m = \frac{(Y_2 - Y_1)}{(X_2 - X_1)} \]
Where:
- \((X_1, Y_1)\) = Coordinates of station Shore = \((653387.06, 395027.52)\)
- \((X_2, Y_2)\) = Coordinates of station Rock = \((651991.62, 391634.06)\)
Calculate:
\[ m = \frac{(391634.06 - 395027.52)}{(651991.62 - 653387.06)} \]
To find the y-intercept (b), use the equation of the line in slope-intercept form:
\[ Y = mX + b \]
Select either point to plug in values for Y, X, and the calculated slope (m) to solve for b.
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