Math Problem Statement
Determine the intercepts of the line.
Solution
Let's analyze the graph of the line and determine the intercepts.
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Y-Intercept: This is the point where the line crosses the y-axis. From the graph, the line crosses the y-axis at the point (0, -20). Therefore, the y-intercept is -20.
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X-Intercept: This is the point where the line crosses the x-axis. From the graph, the line crosses the x-axis at the point (10, 0). Therefore, the x-intercept is 10.
So, the intercepts are:
- Y-Intercept: (0, -20)
- X-Intercept: (10, 0)
Would you like further details or help with another concept? Here are some related questions:
- How do we find intercepts from an equation of a line?
- What is the formula for the equation of a line in terms of intercepts?
- How do you graph a line given its intercepts?
- What does the slope represent in terms of intercepts?
- How do you calculate intercepts algebraically?
Tip: To find intercepts algebraically from a linear equation, set to find the y-intercept, and set to find the x-intercept.
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Math Problem Analysis
Mathematical Concepts
Algebra
Graphing
Linear Equations
Formulas
x-intercept formula: Set y = 0
y-intercept formula: Set x = 0
Theorems
Intercept theorem
Suitable Grade Level
Grades 7-9