Math Problem Statement
The equation of a line is y = 2x + 10. What is the y-intercept of the line?
Solution
The equation given is . This equation is in slope-intercept form, , where:
- represents the slope of the line.
- represents the -intercept.
The -intercept is the value of when . From the equation , we can see that .
Thus, the -intercept of the line is , which corresponds to the point .
Would you like more details or have any questions? Here are five related questions to expand your understanding:
- How do you calculate the slope of a line from its equation?
- What does the slope represent in the context of this equation?
- Can the -intercept change if the slope or another part of the equation changes?
- How do you find the -intercept of a line given its equation?
- Can a line have more than one -intercept? Why or why not?
Tip: Always remember that the -intercept is the constant term in the slope-intercept form .
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form: y = mx + b
Theorems
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Suitable Grade Level
Grades 6-8