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,...
Related questions
Question
![**Question 24 of 45:**
Task: Find a formula for the linear function with a slope of -9 and an x-intercept value of 7.
The equation of a linear function is typically expressed in the form:
\[ y = mx + b \]
where \( m \) is the slope, and \( b \) is the y-intercept. Given a slope \( m = -9 \) and an x-intercept of 7, we need to find the equation of the line.
Since the x-intercept is the point where the line crosses the x-axis, the y-value at this point is 0. Thus, the point is (7, 0). We can use this information along with the slope to find the y-intercept \( b \):
Plugging the point (7, 0) into the equation:
\[ 0 = -9(7) + b \]
Solving for \( b \):
\[ 0 = -63 + b \]
\[ b = 63 \]
Thus, the formula for the linear function is:
\[ y = -9x + 63 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F92ab3c20-a3cd-4c1e-8775-52ac5ed4d4cf%2F8402369a-f219-4163-9df1-3b8be5616f6b%2Fma047ho_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Question 24 of 45:**
Task: Find a formula for the linear function with a slope of -9 and an x-intercept value of 7.
The equation of a linear function is typically expressed in the form:
\[ y = mx + b \]
where \( m \) is the slope, and \( b \) is the y-intercept. Given a slope \( m = -9 \) and an x-intercept of 7, we need to find the equation of the line.
Since the x-intercept is the point where the line crosses the x-axis, the y-value at this point is 0. Thus, the point is (7, 0). We can use this information along with the slope to find the y-intercept \( b \):
Plugging the point (7, 0) into the equation:
\[ 0 = -9(7) + b \]
Solving for \( b \):
\[ 0 = -63 + b \]
\[ b = 63 \]
Thus, the formula for the linear function is:
\[ y = -9x + 63 \]
Expert Solution
Step 1
Topic- Linear function
we are given
Slope=-9
x intercept=7
we know that
equation of line with slope m and x intercept a is y=m(x-c)
Step by step
Solved in 2 steps
Recommended textbooks for you
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra and Trigonometry (6th Edition)
Algebra
ISBN:
9780134463216
Author:
Robert F. Blitzer
Publisher:
PEARSON
Contemporary Abstract Algebra
Algebra
ISBN:
9781305657960
Author:
Joseph Gallian
Publisher:
Cengage Learning
Linear Algebra: A Modern Introduction
Algebra
ISBN:
9781285463247
Author:
David Poole
Publisher:
Cengage Learning
Algebra And Trigonometry (11th Edition)
Algebra
ISBN:
9780135163078
Author:
Michael Sullivan
Publisher:
PEARSON
Introduction to Linear Algebra, Fifth Edition
Algebra
ISBN:
9780980232776
Author:
Gilbert Strang
Publisher:
Wellesley-Cambridge Press
College Algebra (Collegiate Math)
Algebra
ISBN:
9780077836344
Author:
Julie Miller, Donna Gerken
Publisher:
McGraw-Hill Education