Math Problem Statement
What is the y-intercept of the line given by the equation y = 2x + 10?
Solution
The given equation of the line is:
This is in the slope-intercept form of a linear equation, which is:
where:
- is the slope,
- is the -intercept.
In this case, the -intercept is the constant term, which is 10.
So, the -intercept of the line is .
Do you have any other questions or would you like more details?
Here are 5 related questions you might find interesting:
- What is the slope of the line in this equation?
- How do you find the -intercept of a line?
- How would the graph of this line look?
- What happens to the -intercept if the equation is changed to ?
- How can you graph a line using the slope and the -intercept?
Tip: The -intercept is where the line crosses the -axis, and it can be directly read off from the equation when in slope-intercept form!
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Math Problem Analysis
Mathematical Concepts
Algebra
Linear Equations
Formulas
Slope-intercept form: y = mx + b
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 6-8