Math Problem Statement
A line has a slope of – 2 and a y-intercept of – 15. 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:
Where:
- is the slope of the line
- is the y-intercept of the line
Given:
- Slope
- Y-intercept
Substitute these values into the slope-intercept form:
So, the equation of the line is:
Would you like more details on how to graph this equation or understand its properties?
Here are 5 related questions:
- How do you find the slope of a line from two given points?
- How do you convert a slope-intercept form equation to standard form?
- What does the slope of a line represent in real-world situations?
- How do you find the x-intercept of a line from its equation?
- What happens to the graph of a line if the slope changes but the y-intercept stays the same?
Tip: When graphing lines, the y-intercept is the point where the line crosses the y-axis, and it helps you start plotting the line easily.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-Intercept Form: y = mx + b
Theorems
Slope Formula
Suitable Grade Level
Grades 8-10