Math Problem Statement
intercept ans zero
Solution
This graph depicts a line crossing both the x-axis and y-axis on a coordinate plane. Based on this, we can derive the following:
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X-intercept: This is the point where the line crosses the x-axis. In this case, the x-intercept is at , meaning the line crosses the x-axis at .
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Y-intercept: This is the point where the line crosses the y-axis. In this case, the y-intercept is at , meaning the line crosses the y-axis at .
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Zero of the Function: The x-intercept is also the zero of the function, which means that when , the value of is 7. So the zero of the function is .
Would you like further details on the slope of this line or how the intercepts were determined?
Here are 5 questions related to this topic:
- How can we calculate the slope of this line based on its intercepts?
- What is the equation of this line in slope-intercept form?
- How would the graph change if the y-intercept were positive?
- What happens to the x-intercept if the slope of the line is changed?
- How do you determine the slope if only given two points?
Tip: The slope of a line is calculated as the change in divided by the change in (rise over run).
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Intercepts
Formulas
y = mx + b
Slope = (change in y) / (change in x)
Theorems
Slope-Intercept Theorem
Suitable Grade Level
Grades 8-10