Math Problem Statement
What is the y-intercept of each graph?
Solution
From the image, the task involves determining the y-intercept for the given graphs. The y-intercept is the point where the line crosses the y-axis, which occurs when .
Let’s analyze the graphs:
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First graph (top):
- The line crosses the y-axis at 4. Hence, the -intercept is 4.
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Second graph (bottom):
- The line crosses the y-axis at -4. Hence, the -intercept is -4.
Answers:
- Top graph y-intercept:
- Bottom graph y-intercept:
Would you like a detailed explanation of how to identify y-intercepts or help with a related topic? Here are five questions to deepen your understanding:
- What is the slope of each line based on the graph?
- How does the slope relate to the direction of the line?
- Can you write the equations of the lines in slope-intercept form ()?
- How can you use the equation of a line to verify the y-intercept?
- What happens to the graph of a line if only the y-intercept changes?
Tip: The y-intercept is always located at the point , where is the y-value of the intercept.
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Math Problem Analysis
Mathematical Concepts
Coordinate Geometry
Linear Equations
Y-Intercepts
Formulas
Slope-Intercept Form: y = mx + b
Theorems
Point-Slope Relationship
Suitable Grade Level
Grades 7-9