Question
When graphing \( y<\frac{3}{4} x-5 \), you will draw which of the following? Select a type of line and the shading. \( \begin{array}{l}\text { Shade } \\ \text { below }\end{array} \) A solid line A dotted line
Ask by Bob Mcfarlane. in the United States
Mar 17,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
Draw a dotted line and shade below it.
Solution
To graph the inequality \( y < \frac{3}{4} x - 5 \), we need to follow these steps:
1. **Identify the type of line**: Since the inequality is \( y < \), it indicates that the line itself is not included in the solution. Therefore, we will use a **dotted line** to represent the boundary of the inequality.
2. **Determine the shading**: The inequality \( y < \frac{3}{4} x - 5 \) means we will shade the region below the line. This is because we are looking for all the points where \( y \) is less than the value given by the equation of the line.
In summary, when graphing \( y < \frac{3}{4} x - 5 \), you will draw a **dotted line** and shade **below** the line.
Answered by UpStudy AI and reviewed by a Professional Tutor
Like
error msg
Explain 
Simplify this solution Bonus Knowledge
To graph the inequality \( y < \frac{3}{4} x - 5 \), you will use a dotted line because the inequality symbol is less than (\(<\)), indicating that the points on the line are not included in the solution set. This means you should not color any part of the line itself. Next, since you are shading for \( y < \frac{3}{4} x - 5 \), the shading will be below the line. This represents all the values where \( y \) is less than the value given by the equation, helping visualize the complete solution to the inequality.
