### About Slope Intercept Form:

Although we see point-slope and standard form, an equation is usually written in slope-intercept form: y = mx + b. This form allows us to quickly identify the slope (m) and y-intercept (0,b) from looking at the equation. We can manipulate the equation into this format, by solving for y.

Test Objectives

- Demonstrate the ability to write the equation of a line in standard form
- Demonstrate the ability to write the equation of a line in slope-intercept form
- Demonstrate the ability to write the equation of a line in point-slope form

#1:

Instructions: Write the slope-intercept form of the equation of each line, given the slope and y-intercept.

a) y-intercept = -2

slope | = | - | 2 |

5 |

b) y-intercept = 1

slope | = | 3 |

4 |

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#2:

Instructions: Write the slope-intercept form of the equation of each line, given the slope and y-intercept.

a) y-intercept = 3

slope | = | - | 5 |

4 |

b) y-intercept = 5

slope = -6

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#3:

Instructions: Graph each line.

a) y = -2x + 4

b)

y | = | 4x | + | 1 |

5 |

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#4:

Instructions: Write each equation using point-slope form, then solve for y and place the equation in slope-intercept form.

a) through (-5,3) : slope = 2

b) through (-1,2) : slope = -3

c) through (0,-5) and (5,2)

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#5:

Instructions: Write the standard form of the equation of the line.

a)

y | = | -7x | + | 1 |

3 |

b)

y | = | 1x | + | 3 |

5 |

c)

y | = | -9x | + | 6 |

5 |

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Written Solutions:

#1:

Solutions:

a)

y | = | -2x | - | 2 |

5 |

b)

y | = | 3x | + | 1 |

4 |

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#2:

Solutions:

a)

y | = | -5x | + | 3 |

4 |

b)

y = -6x + 5

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#3:

Solutions:

a)

b)

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#4:

Solutions:

a)

point-slope form: y - 3 = 2(x - (-5)) slope-intercept form: y = 2x + 13

b)

point-slope form: y - 2 = -3(x - (-1)) slope-intercept form: y = -3x - 1

c)

point-slope form: y - 2 = | 7 | (x - 5) |

5 |

slope - intercept form: y = | 7x | - 5 |

5 |

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#5:

Solutions:

a) 7x + 3y = 3

b) x - 5y = -15

c) 9x + 5y = 30