Question
Chose the description that explains how to graph the linear function \( f(x)=-\frac{1}{2} x+7 \). Begin at 7 on the \( x \)-axis, then go down one space and to the right 2 spaces. Begin at 7 on the \( y \)-axis, then go down one space and to the right 2 spaces. Begin at 7 on the \( y \)-axis, then go down one space and to the left 2 spaces. Begin at 7 on the \( y \)-axis, then go down two spaces and to the right 1 space.
Ask by Ellis Mcguire. in Japan
Feb 08,2025
Real Tutor Solution
Tutor-Verified Answer
Answer
Begin at 7 on the y-axis, then go down one space and to the right 2 spaces.
Solution
The correct description is: Begin at 7 on the y-axis, then go down one space and to the right 2 spaces.
This reflects the y-intercept of 7 and the slope of -1/2. The slope tells us that for every 2 units you move to the right, you move 1 unit down.
Reviewed and approved by the UpStudy tutoring team
Like
error msg
Explain 
Simplify this solution Beyond the Answer
When graphing the linear function \( f(x)=-\frac{1}{2} x+7 \), you start at the y-intercept, which is 7. This point is located on the y-axis. From there, since the slope is -\(\frac{1}{2}\), you move down one unit and to the right two units to plot the next point. This method of plotting not only helps visualize the line but will also come in handy during real-world applications like determining the relationship between variables, predicting outcomes in finance, or measuring distances. By understanding slopes and y-intercepts, you can solve various real-world problems involving linear relationships!
