Math Problem Statement
A line has a slope of 0 and a y-intercept of – 7 3 . Write its equation in slope-intercept form. Write your answer using integers, proper fractions, and improper fractions in simplest form.
Solution
The slope-intercept form of a line's equation is given by:
where:
- is the slope, and
- is the y-intercept.
In this case, the slope , and the y-intercept .
Since the slope is 0, the equation simplifies to:
This is the equation of a horizontal line.
Would you like further explanation or have any questions?
Here are 5 related questions to consider:
- What is the equation of a line with a slope of 2 and a y-intercept of ?
- How does the graph of a line change if its slope increases?
- What is the meaning of a slope of 0 in the context of a graph?
- How would the equation change if the y-intercept were positive instead of negative?
- Can you determine the x-intercept of the line from this equation?
Tip: A line with a slope of 0 is always horizontal, and its equation will always be .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Equation of a horizontal line theorem
Suitable Grade Level
Grades 6-8