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Questions and Answers
What is the x-intercept of the equation $3x + 2y = 6$?
What is the x-intercept of the equation $3x + 2y = 6$?
2
What is the y-intercept of the equation $3x + 2y = 6$?
What is the y-intercept of the equation $3x + 2y = 6$?
3
What is the x-intercept of the equation $-3x + 5y = -15$?
What is the x-intercept of the equation $-3x + 5y = -15$?
5
What is the y-intercept of the equation $-3x + 5y = -15$?
What is the y-intercept of the equation $-3x + 5y = -15$?
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Which graph matches the equation $y = x + 3$?
Which graph matches the equation $y = x + 3$?
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Which graph matches the equation $y = 4x - 8$?
Which graph matches the equation $y = 4x - 8$?
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Which graph matches the equation $y = -2 + 8x$?
Which graph matches the equation $y = -2 + 8x$?
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Which graph matches the equation $3x + y = 15$?
Which graph matches the equation $3x + y = 15$?
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Which graph matches the equation $8x - 5y = 80$?
Which graph matches the equation $8x - 5y = 80$?
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What type of line is represented by the equation $x = -2$?
What type of line is represented by the equation $x = -2$?
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What type of line is represented by the equation $y = -1$?
What type of line is represented by the equation $y = -1$?
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Match the equation $y + x = 2$ with the table.
Match the equation $y + x = 2$ with the table.
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Match the equation $y - 2x = 5$ with the table.
Match the equation $y - 2x = 5$ with the table.
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Match the equation $y + 4x = 1$ with the table.
Match the equation $y + 4x = 1$ with the table.
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Match the equation $3y + 4x = 12$ with the table.
Match the equation $3y + 4x = 12$ with the table.
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Match the equation $3x + 2y = 8$ with the table.
Match the equation $3x + 2y = 8$ with the table.
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Study Notes
Finding Intercepts
- The x-intercept of the equation 3x + 2y = 6 is 2, found by setting y to 0.
- The y-intercept of the equation 3x + 2y = 6 is 3, found by setting x to 0.
- For the equation -3x + 5y = -15, the x-intercept is 5, determined by setting y to 0.
- The y-intercept of -3x + 5y = -15 is -3, calculated by setting x to 0.
Identifying Graphs
- Graph identification requires matching graphed lines with their corresponding equations.
- The equation y = x + 3 represents a line with a slope of 1 and a y-intercept at 3.
- The equation y = 4x - 8 is a line with a slope of 4 and a y-intercept at -8.
- The equation y = -2 + 8x can be simplified to y = 8x - 2, indicating a steep line with a positive slope.
- The equation 3x + y = 15 can be rewritten as y = -3x + 15, a line with a negative slope.
- The equation 8x - 5y = 80 can be transformed into slope-intercept form to analyze its slope and intercept.
Specific Line Graphs
- The equation x = -2 describes a vertical line located at x = -2.
- The equation y = -1 creates a horizontal line situated at y = -1.
Table Matching
- The task involves matching equations with their corresponding values on a table.
- Equations to match include y + x = 2, y - 2x = 5, y + 4x = 1, 3y + 4x = 12, and 3x + 2y = 8.
- Each equation represents a unique line whose slope and intercept can help identify corresponding values in a table.
Studying That Suits You
Use AI to generate personalized quizzes and flashcards to suit your learning preferences.
Description
Test your knowledge of graphing linear equations with these flashcards. Each card presents a specific equation for you to find either the x-intercept or y-intercept. Challenge yourself to identify the correct graphs that correspond to given equations.
