Powers Rogers
07/03/2023 · Middle School
The following linear function is written in point-slope form: \( y+7=-\frac{1}{2}(x-14) \) What is the slope of the line? \( -\frac{1}{2} \) Name the point in the line that the equation of the function is based on : Hint: HINT 1: Point-slope form is \( y-y_{1}=m\left(x-x_{1}\right) \) HINT 2: Are you putting the \( x \) and \( y \) values of the coordinate points in the correct place?
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
The given linear function in point-slope form is
\[
y + 7 = -\frac{1}{2}(x - 14).
\]
In point-slope form, the equation is expressed as
\[
y - y_1 = m(x - x_1),
\]
where \( m \) is the slope and \( (x_1, y_1) \) is a point on the line.
From the given equation, we can identify the slope \( m \) as
\[
-\frac{1}{2}.
\]
To find the point \( (x_1, y_1) \), we can rewrite the equation in the standard point-slope form:
\[
y - (-7) = -\frac{1}{2}(x - 14).
\]
This shows that \( y_1 = -7 \) and \( x_1 = 14 \). Therefore, the point on the line that the equation is based on is
\[
(14, -7).
\]
In summary:
- The slope of the line is \( -\frac{1}{2} \).
- The point on the line is \( (14, -7) \).
Quick Answer
The slope is \( -\frac{1}{2} \) and the point is \( (14, -7) \).
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
(0)
Ask Real Tutor
UpStudy ThothAI
Self-Developed and Ever-Improving
Thoth AI product is constantly being upgraded and optimized.
Covers All Major Subjects
Capable of handling homework in math, chemistry, biology, physics, and more.
Instant and Accurate
Provides immediate and precise solutions and guidance.
Try Now
PREV 
Ask Tutors
Ask AI
10x
Fastest way to Get Answers & Solutions
By text
Enter your question here…
By image
Re-Upload
Uploaded Files
xxxx.png0%
Submit
