Math Problem Statement
Determina los puntos de intersección de la recta con los ejes coordenados. Intersección con el eje x: ( ); Intersección con el eje y: ( ).
Solution
The problem requires determining the intersection points of the line with the x-axis and y-axis.
Let's solve it step-by-step:
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Intersection with the x-axis:
- At the x-axis, .
- We observe from the graph that the line crosses the x-axis at approximately .
- Thus, the point of intersection with the x-axis is .
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Intersection with the y-axis:
- At the y-axis, .
- From the graph, the line crosses the y-axis at approximately .
- Therefore, the point of intersection with the y-axis is .
Final answers:
- Intersection with the x-axis: .
- Intersection with the y-axis: .
Do you have any questions or would you like more details on how these points were determined?
Here are five related questions you could explore:
- What is the equation of the line in slope-intercept form?
- How do you determine the slope of the line from the graph?
- Can you find the midpoint between the intersection points on the x-axis and y-axis?
- What happens to the intersection points if the slope of the line changes?
- How would the intersection points change if the line had a negative slope?
Tip: To find the slope of a line, use the formula where and are the changes in the y and x values between two points on the line.
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Math Problem Analysis
Mathematical Concepts
Linear Equations
Graphing
Formulas
Slope-intercept form y = mx + b
Theorems
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Suitable Grade Level
Grades 7-10