Questions and Answers
What is the equation of the line with slope 5 and y-intercept -3?
What is the equation of the line with slope -6 and y-intercept -2?
What is the equation of the line with slope 3 and y-intercept -12?
What is the equation of the line with slope 1 and y-intercept 2?
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What is the equation of the line with slope -2 and y-intercept 7?
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What is the equation of the line with slope 7 and y-intercept 1?
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What is the equation of the line with slope -4 and y-intercept 0?
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What is the equation of the line with slope 0 and y-intercept 8?
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What is the equation of the line with slope -1 and y-intercept 2?
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What is the equation of the line with slope 1 and y-intercept 0?
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What is the equation of the line with slope -1 and y-intercept 0?
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What is the equation of the line with slope 1 and y-intercept -2?
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What is the equation of the line with slope 0 and y-intercept -8?
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What is the equation of the line with slope 4 and y-intercept 0?
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What is the equation of the line with slope 3 and y-intercept 12?
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What is the equation of the line with slope (\frac{5}{2}) and y-intercept -2?
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What is the equation of the line with slope -2 and y-intercept 1?
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What is the equation of the line with slope -(\frac{1}{2}) and y-intercept -3?
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What is the equation of the line with slope (\frac{2}{3}) and y-intercept -4?
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What is the equation of the line with slope 3 and y-intercept 2?
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What is the equation of the line with slope 0 and y-intercept 4?
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What is the equation of the line with slope -4 and y-intercept 5?
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What is the equation of the line with slope (\frac{1}{3}) and y-intercept 0?
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What is the equation of the line with slope -(\frac{3}{4}) and y-intercept 0?
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What is the equation of the line with slope -1 and y-intercept -4?
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What is the equation of the line with slope 0 and y-intercept -3?
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What is the equation of the line with slope 1 and y-intercept 1?
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Study Notes
Writing Equations in Slope-Intercept Form
- Slope-intercept form of a line is expressed as ( y = mx + b ), where ( m ) is the slope and ( b ) is the y-intercept.
Key Equations
-
( y = 5x - 3 )
- Slope: 5; y-intercept: -3
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( y = -6x - 2 )
- Slope: -6; y-intercept: -2
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( y = 3x - 12 )
- Slope: 3; y-intercept: -12
-
( y = x + 2 )
- Slope: 1; y-intercept: 2
-
( y = -2x + 7 )
- Slope: -2; y-intercept: 7
-
( y = 7x + 1 )
- Slope: 7; y-intercept: 1
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( y = -4x )
- Slope: -4; y-intercept: 0
-
( y = 8 )
- Slope: 0; y-intercept: 8 (horizontal line)
-
( y = -x + 2 )
- Slope: -1; y-intercept: 2
-
( y = x )
- Slope: 1; y-intercept: 0 (passes through origin)
-
( y = -x )
- Slope: -1; y-intercept: 0 (passes through origin)
-
( y = x - 2 )
- Slope: 1; y-intercept: -2
-
( y = -8 )
- Slope: 0; y-intercept: -8 (horizontal line)
-
( y = 4x )
- Slope: 4; y-intercept: 0
-
( y = 3x + 12 )
- Slope: 3; y-intercept: 12
Additional Equations to Consider
-
( y = \frac{5}{2}x - 2 )
- Slope: ( \frac{5}{2} ); y-intercept: -2
-
( y = -2x + 1 )
- Slope: -2; y-intercept: 1
-
( y = -\frac{1}{2}x - 3 )
- Slope: -( \frac{1}{2} ); y-intercept: -3
-
( y = \frac{2}{3}x - 4 )
- Slope: ( \frac{2}{3} ); y-intercept: -4
-
( y = 3x + 2 )
- Slope: 3; y-intercept: 2
Horizontal and Vertical Line Equations
-
( y = 4 )
- Slope: 0; y-intercept: 4 (horizontal line)
-
( y = -4x + 5 )
- Slope: -4; y-intercept: 5
-
( y = \frac{1}{3}x )
- Slope: ( \frac{1}{3} ); y-intercept: 0 (passes through origin)
-
( y = -\frac{3}{4}x )
- Slope: -( \frac{3}{4} ); y-intercept: 0 (passes through origin)
-
( y = -x - 4 )
- Slope: -1; y-intercept: -4
-
( y = -3 )
- Slope: 0; y-intercept: -3 (horizontal line)
-
( y = x + 1 )
- Slope: 1; y-intercept: 1
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Test your understanding of writing equations in slope-intercept form with these helpful flashcards. Each flashcard presents a slope and y-intercept, challenging you to write the corresponding equation. Perfect for mastering linear equations!