Math Problem Statement
Find the x-intercept and the y-intercept of the line below. Click on 'None' if applicable.
Solution
The graph shows a straight line with both an x-intercept and a y-intercept.
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The x-intercept is the point where the line crosses the x-axis (where ). From the graph, the line crosses the x-axis at . Therefore, the x-intercept is .
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The y-intercept is the point where the line crosses the y-axis (where ). From the graph, the line crosses the y-axis at . Therefore, the y-intercept is .
Thus:
- (a) x-intercept:
- (b) y-intercept:
Do you have any further questions or would you like more details?
Here are 5 related questions to expand on this:
- How do you calculate the slope of a line given two points on the graph?
- What is the equation of this line in slope-intercept form?
- Can a line have more than one x-intercept or y-intercept?
- How can you find the intercepts algebraically from an equation?
- How does changing the slope of the line affect the intercepts?
Tip: To find the intercepts of any line, set for the x-intercept and for the y-intercept.
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Math Problem Analysis
Mathematical Concepts
Linear Algebra
Coordinate Geometry
Formulas
x-intercept: set y = 0
y-intercept: set x = 0
Theorems
Intercept Theorem
Suitable Grade Level
Grades 6-8