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Questions and Answers
What is a coordinate plane?
What is a coordinate plane?
What is the horizontal axis called?
What is the horizontal axis called?
x-axis
What is the vertical axis called?
What is the vertical axis called?
y-axis
What do ordered pairs represent?
What do ordered pairs represent?
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What is the first coordinate in an ordered pair called?
What is the first coordinate in an ordered pair called?
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What is the second coordinate in an ordered pair called?
What is the second coordinate in an ordered pair called?
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What is the point where the x and y axes cross called?
What is the point where the x and y axes cross called?
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What is the definition of a slope?
What is the definition of a slope?
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What is the formula for slope?
What is the formula for slope?
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What does a positive slope indicate?
What does a positive slope indicate?
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What does a negative slope indicate?
What does a negative slope indicate?
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What type of line has an undefined slope?
What type of line has an undefined slope?
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What type of line has a zero slope?
What type of line has a zero slope?
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What is the y-intercept?
What is the y-intercept?
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What is the x-intercept?
What is the x-intercept?
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What is the structure of the slope-intercept form?
What is the structure of the slope-intercept form?
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The Origin is represented by the coordinates ______
The Origin is represented by the coordinates ______
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What does the 'Three Musketeer Rule' refer to in graphing?
What does the 'Three Musketeer Rule' refer to in graphing?
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What do the terms Domain and Range refer to?
What do the terms Domain and Range refer to?
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Match the following terms with their definitions:
Match the following terms with their definitions:
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In inequalities, when do I use a dashed line? ______
In inequalities, when do I use a dashed line? ______
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What should you do with a non-integer result in slope?
What should you do with a non-integer result in slope?
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Study Notes
Coordinate Plane
- Consists of two intersecting axes: the horizontal x-axis and the vertical y-axis.
Ordered Pairs
- A format to represent a point on the graph, structured as (x,y).
Coordinates
- X-coordinate: The first value in an ordered pair, indicating horizontal position.
- Y-coordinate: The second value in an ordered pair, indicating vertical position.
Origin and Quadrants
- Origin is the point where the x-axis and y-axis cross, represented as (0,0).
- The coordinate plane is divided into four quadrants based on the sign of the coordinates.
Slope Concepts
- Slope (m) measures the steepness of a line.
- Positive slope: Line rises from left to right.
- Negative slope: Line falls from left to right.
- Undefined slope: A vertical line where x-coordinates are constant.
- Zero slope: A horizontal line where y-coordinates are constant.
Formulas
- Slope formula: m = (y2 - y1) / (x2 - x1) = rise/run.
- Slope-Intercept Form: Expresses a line as y = mx + b, where m is the slope and b is the y-intercept.
- Standard Form: Ax + By = C, which can be analyzed using the cover-up method.
Intercepts
- Y-intercept: The point where the line crosses the y-axis.
- X-intercept: The point where the line crosses the x-axis.
Graphing Techniques
- Cover-Up Method: Used to graph intercepts directly from standard form equations.
Inequalities
- Dashed line is used when the inequality is strict (< or >), indicating the line is not included.
- Solid line is used when the inequality is inclusive (≤ or ≥), indicating the line is included.
Special Rules
- HOY (Horizontal, Zero Slope, y = # equation) simplifies understanding horizontal lines.
- VUX (Vertical, Undefined Slope, x = # equation) simplifies understanding vertical lines.
Other Concepts
- Domain refers to the set of possible y-values for a function.
- Range refers to the set of possible x-values for a function.
- For non-integer results, rewrite in Slope-Intercept form for ease of use.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your understanding of key concepts related to the slope in Algebra 1 through this flashcard quiz. Each card features essential vocabulary and definitions that will help reinforce your knowledge of coordinate planes and ordered pairs.
