Math Problem Statement
Find the y-intercept of the line y = -15/8x + 9. Write your answer as an integer or as a simplified proper or improper fraction, not as an ordered pair.
Solution
The equation given in the image is . This is in the slope-intercept form, which is written as:
where:
- is the slope of the line, and
- is the y-intercept.
In this case, , so the y-intercept is 9.
Since the problem asks for the y-intercept as an integer or fraction, the answer is:
Would you like further details on this topic or have any additional questions?
Here are 5 follow-up questions related to this problem:
- How do you determine the slope of a line from an equation?
- What is the meaning of the y-intercept in a real-world context?
- Can a line have a fractional y-intercept, and if so, how would it be interpreted?
- What happens to the y-intercept if the equation is rearranged in a different form?
- How do you find the x-intercept of a line from its equation?
Tip: The y-intercept is always the value of when . In slope-intercept form, it's the constant term!
Ask a new question for Free
By Image
Drop file here or Click Here to upload
Math Problem Analysis
Mathematical Concepts
Linear Equations
Y-Intercept
Slope-Intercept Form
Formulas
y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 7-9