Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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![**Exercise: Finding the Equation of a Line**
**Objective:** Determine the equation of a straight line passing through two given points.
**Problem Statement:**
Find the equation (in terms of \( x \)) of the line through the points \((-4, -3)\) and \( (3, 11) \).
**Equation Format:**
\[ y = \]
**Instructions:**
1. Calculate the slope of the line using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1) = (-4, -3)\) and \((x_2, y_2) = (3, 11)\).
2. Use the point-slope form of the equation of a line:
\[
y - y_1 = m(x - x_1)
\]
3. Substitute the slope (\(m\)) and one of the points into the equation to find the line's equation in slope-intercept form, \(y = mx + b\).
**Submit your response in the provided text box and click "Submit Question".**
**Note:** There are no graphs or diagrams associated with this exercise.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f3023e4-e765-481d-a4cf-2667beaa33ac%2Fa3bb46a2-491c-451f-9fd3-2845d934bf7f%2Ftp3nxol_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Exercise: Finding the Equation of a Line**
**Objective:** Determine the equation of a straight line passing through two given points.
**Problem Statement:**
Find the equation (in terms of \( x \)) of the line through the points \((-4, -3)\) and \( (3, 11) \).
**Equation Format:**
\[ y = \]
**Instructions:**
1. Calculate the slope of the line using the formula:
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
where \((x_1, y_1) = (-4, -3)\) and \((x_2, y_2) = (3, 11)\).
2. Use the point-slope form of the equation of a line:
\[
y - y_1 = m(x - x_1)
\]
3. Substitute the slope (\(m\)) and one of the points into the equation to find the line's equation in slope-intercept form, \(y = mx + b\).
**Submit your response in the provided text box and click "Submit Question".**
**Note:** There are no graphs or diagrams associated with this exercise.
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