QQuestionMathematics
QuestionMathematics
Is the line for the equation y= 1 horizontal or vertical? What is the slope of this line? Select the best answer.
A. The line is horizontal. The slope is 0.
B. The line is horizontal. The slope is 1.
C. The line is vertical. The slope is undefined.
D. The line is vertical. The slope is 0.
12 months agoReport content
Answer
Full Solution Locked
Sign in to view the complete step-by-step solution and unlock all study resources.
Step 1:Let's solve this step by step:
Step 2:: Identify the equation
The equation is $$y = 1
Step 3:: Analyze the line's orientation
- In this equation, the y-coordinate is always 1, regardless of the x-coordinate - This means the line is a horizontal line that crosses the y-axis at y = 1
Step 4:: Calculate the slope
- The slope of a line represents its steepness - For a horizontal line, the y-coordinate remains constant while the x-coordinate changes - This means the line is flat and does not rise or fall - The slope of a horizontal line is always 0
Step 5:: Evaluate the given options
- The line is horizontal - The slope is 0
Final Answer
The line is horizontal. The slope is 0. Explanation: - A horizontal line has a constant y-value - Its slope is always 0 because there is no change in y as x changes - The equation y = 1 represents a horizontal line that crosses the y-axis at the point (0, 1)
Need Help with Homework?
Stuck on a difficult problem? We've got you covered:
- Post your question or upload an image
- Get instant step-by-step solutions
- Learn from our AI and community of students