Lesson 4.1 Slope-Intercept Form Flashcards

Questions and Answers

What is the equation of the line with slope 5 and y-intercept -3?

y = 0x - 5

y = 3x + 5

y = 5x - 3 (correct)

y = -5x + 3

What is the equation of the line with slope -6 and y-intercept -2?

y = x - 6

y = -6x - 2 (correct)

y = -2x + 6

y = 6x + 2

What is the equation of the line with slope 3 and y-intercept -12?

y = 3x - 12 (correct)

y = -3x + 12

y = 12x - 3

y = x + 3

What is the equation of the line with slope 1 and y-intercept 2?

y = x + 2 Signup and view all the answers

What is the equation of the line with slope -2 and y-intercept 7?

y = -2x + 7 Signup and view all the answers

What is the equation of the line with slope 7 and y-intercept 1?

y = 7x + 1 Signup and view all the answers

What is the equation of the line with slope -4 and y-intercept 0?

y = -4x Signup and view all the answers

What is the equation of the line with slope 0 and y-intercept 8?

y = 0x + 8 Signup and view all the answers

What is the equation of the line with slope -1 and y-intercept 2?

y = -x + 2 Signup and view all the answers

What is the equation of the line with slope 1 and y-intercept 0?

y = x Signup and view all the answers

What is the equation of the line with slope -1 and y-intercept 0?

y = -x Signup and view all the answers

What is the equation of the line with slope 1 and y-intercept -2?

y = x - 2 Signup and view all the answers

What is the equation of the line with slope 0 and y-intercept -8?

y = -8 Signup and view all the answers

What is the equation of the line with slope 4 and y-intercept 0?

y = 4x Signup and view all the answers

What is the equation of the line with slope 3 and y-intercept 12?

y = 3x + 12 Signup and view all the answers

What is the equation of the line with slope (\frac{5}{2}) and y-intercept -2?

y = \frac{5}{2}x - 2 Signup and view all the answers

What is the equation of the line with slope -2 and y-intercept 1?

y = -2x + 1 Signup and view all the answers

What is the equation of the line with slope -(\frac{1}{2}) and y-intercept -3?

y = -\frac{1}{2}x - 3 Signup and view all the answers

What is the equation of the line with slope (\frac{2}{3}) and y-intercept -4?

y = \frac{2}{3}x - 4 Signup and view all the answers

What is the equation of the line with slope 3 and y-intercept 2?

y = 3x + 2 Signup and view all the answers

What is the equation of the line with slope 0 and y-intercept 4?

y = 4 Signup and view all the answers

What is the equation of the line with slope -4 and y-intercept 5?

y = -4x + 5 Signup and view all the answers

What is the equation of the line with slope (\frac{1}{3}) and y-intercept 0?

y = \frac{1}{3}x Signup and view all the answers

What is the equation of the line with slope -(\frac{3}{4}) and y-intercept 0?

y = -\frac{3}{4}x Signup and view all the answers

What is the equation of the line with slope -1 and y-intercept -4?

y = -x - 4 Signup and view all the answers

What is the equation of the line with slope 0 and y-intercept -3?

y = -3 Signup and view all the answers

What is the equation of the line with slope 1 and y-intercept 1?

y = x + 1 Signup and view all the answers

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
( y = -6x - 2 )
- Slope: -6; y-intercept: -2
( 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
( 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!