Cummings John
01/12/2023 · Middle School
Does the line \( y=\frac{1}{2} x-6 \) pass through the point \( (15,1.5) \) ? Explain your answer.
UpStudy ThothAI Solution
Tutor-Verified Answer
Step-by-step Solution
To determine if the line \( y = \frac{1}{2} x - 6 \) passes through the point \( (15, 1.5) \), we can substitute \( x = 15 \) into the equation of the line and see if the resulting \( y \) value equals \( 1.5 \).
Starting with the equation of the line:
\[
y = \frac{1}{2} x - 6
\]
Substituting \( x = 15 \):
\[
y = \frac{1}{2} \cdot 15 - 6
\]
Calculating \( \frac{1}{2} \cdot 15 \):
\[
\frac{1}{2} \cdot 15 = 7.5
\]
Now substituting this back into the equation:
\[
y = 7.5 - 6
\]
Calculating \( 7.5 - 6 \):
\[
y = 1.5
\]
Since we found that when \( x = 15 \), \( y = 1.5 \), which matches the \( y \)-coordinate of the point \( (15, 1.5) \), we conclude that the line does indeed pass through the point \( (15, 1.5) \).
Thus, the answer is:
Yes, the line \( y = \frac{1}{2} x - 6 \) passes through the point \( (15, 1.5) \).
Quick Answer
Yes, the line passes through the point \( (15, 1.5) \).
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
