Questions and Answers
What is the x-intercept of the equation $3x + 2y = 6$?
2
What is the y-intercept of the equation $3x + 2y = 6$?
3
What is the x-intercept of the equation $-3x + 5y = -15$?
5
What is the y-intercept of the equation $-3x + 5y = -15$?
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Which graph matches the equation $y = x + 3$?
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Which graph matches the equation $y = 4x - 8$?
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Which graph matches the equation $y = -2 + 8x$?
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Which graph matches the equation $3x + y = 15$?
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Which graph matches the equation $8x - 5y = 80$?
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What type of line is represented by the equation $x = -2$?
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What type of line is represented by the equation $y = -1$?
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Match the equation $y + x = 2$ with the table.
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Match the equation $y - 2x = 5$ with the table.
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Match the equation $y + 4x = 1$ with the table.
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Match the equation $3y + 4x = 12$ with the table.
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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.
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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.
