Math Problem Statement
Write an equation in slope-intercept form for the line with slope -8 and y-intercept 8.
Solution
The slope-intercept form of a line is given by:
where:
- is the slope of the line, and
- is the y-intercept.
Given:
- Slope () = -8,
- Y-intercept () = 8,
The equation of the line becomes:
Would you like further clarification or details about this? Here are some related questions:
- How do you graph a line using the slope-intercept form?
- What are the steps to derive the slope-intercept form from two points?
- How can the slope-intercept form be converted to standard form?
- What happens when the slope is zero in a line equation?
- How can you interpret the slope and y-intercept in real-world situations?
Tip: The slope indicates the steepness of a line; negative slope means the line is decreasing as you move from left to right.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
-
Suitable Grade Level
Grades 6-8