Math Problem Statement
What is the y intercept of the line y = -2x - 5
Solution
The y-intercept of the line can be found directly from the equation.
The equation is in the slope-intercept form:
Here:
- is the slope of the line.
- is the y-intercept.
In your equation , the constant term . Therefore, the y-intercept is:
This means the line crosses the y-axis at the point .
Would you like more details or have any questions about this?
Here are five related questions:
- What is the slope of the line ?
- How do you find the y-intercept if you are given two points on a line?
- How does the y-intercept affect the graph of a line?
- What are the coordinates of the x-intercept of the line ?
- How does the equation change if the y-intercept is positive?
Tip: The y-intercept is where the line crosses the y-axis, which happens when .
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Slope-Intercept Form
Formulas
Slope-intercept form: y = mx + b
Theorems
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Suitable Grade Level
Grades 7-9