Math Problem Statement
What is the y-intercept of the line with the equation y = 10x - 9?
Solution
The equation provided is in slope-intercept form, which is given by:
Here:
- is the slope of the line,
- is the y-intercept, which represents the point where the line crosses the y-axis.
In the equation , we can see that:
- (slope),
- (y-intercept).
Thus, the y-intercept of the line is .
Final Answer:
The y-intercept is .
Would you like further details or an explanation about the slope-intercept form?
Related Questions:
- What does the slope () of this equation tell us about the line?
- How would the line change if the y-intercept were positive instead of negative?
- How can you find the x-intercept of this line?
- How does the graph of this equation look (e.g., steep or shallow)?
- What is the significance of the y-intercept in real-world applications?
Tip:
Remember, in slope-intercept form, you can immediately identify both the slope and the y-intercept without any calculations!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
y = mx + b (Slope-Intercept Form)
Theorems
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Suitable Grade Level
Grades 6-8