Math Problem Statement
Y = -x + 3
Solution
The equation you provided is , which represents a straight line in the slope-intercept form , where:
- (the slope) is -1.
- (the y-intercept) is 3.
Key Details:
- Slope (m): The slope of the line is -1. This means the line decreases by 1 unit for every 1 unit increase in .
- Y-intercept (b): The line crosses the y-axis at the point (0, 3).
Graphing:
- When , .
- When , .
- When , .
If you plot these points, the line would slope downwards from left to right due to the negative slope.
Would you like more details or have any questions?
Here are 5 related questions for deeper understanding:
- What is the x-intercept of this line?
- How would the graph look if the slope were positive instead?
- What happens to the line if the y-intercept changes?
- Can you calculate the equation of a line parallel to this one but passing through a different point?
- How do you find the distance between this line and a point not on the line?
Tip: For any linear equation in slope-intercept form, the slope tells you the steepness and direction of the line.
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form: Y = mx + b
Theorems
Slope and Y-intercept relationship
Suitable Grade Level
Grades 8-10