Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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![1. Write the equation of a line in slope-intercept form containing these two points: \((-6, 3)\) and \( (2, -1)\).
**Explanation**:
To write the equation of a line in slope-intercept form \(y = mx + b\), you need to determine the slope \(m\) and the y-intercept \(b\).
**Steps**:
1. **Calculate the slope (m)**: Use the formula
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Plug in the points: \( (-6, 3) \) and \( (2, -1) \).
2. **Find the y-intercept (b)**: Use one of the points and the found slope in the slope-intercept equation to solve for \(b\).
3. **Write the final equation**: Substitute the values of \(m\) and \(b\) into \(y = mx + b\).](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F41a94607-ae05-49d2-a989-bd66a70c4a42%2F23574c84-aede-406a-8850-efe0475f2ab8%2Flje7pm5_processed.jpeg&w=3840&q=75)
Transcribed Image Text:1. Write the equation of a line in slope-intercept form containing these two points: \((-6, 3)\) and \( (2, -1)\).
**Explanation**:
To write the equation of a line in slope-intercept form \(y = mx + b\), you need to determine the slope \(m\) and the y-intercept \(b\).
**Steps**:
1. **Calculate the slope (m)**: Use the formula
\[
m = \frac{y_2 - y_1}{x_2 - x_1}
\]
Plug in the points: \( (-6, 3) \) and \( (2, -1) \).
2. **Find the y-intercept (b)**: Use one of the points and the found slope in the slope-intercept equation to solve for \(b\).
3. **Write the final equation**: Substitute the values of \(m\) and \(b\) into \(y = mx + b\).
Expert Solution
Step 1: Given points:
Given points are (-6,3) and (2,-1).
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