Embed Code - If you would like this activity on your web page, copy the script below and paste it into your web page.

Normal Size Small Size show me how

Normal Size Small Size show me how

# Module 2

### Graphing and Writing Linear Functions

Question | Answer |
---|---|

Write an equation in Slope-Intercept Form which has a slope of 5 and y-intercept (0,8) | Use the formula y=mx+b, m is the slope and (0,b) is the y-intercept Answer: y=5x+8 |

Write an equation using Function Notation which has a slope of -3 and y-intercept (0,-4) | First write the equation in Slope-intercept form y=mx+b where the slope is m and (0,b) is the y-intercept. Then, substitute the y for f(x) Answer: f(x)=-3x-4 |

Using Function Notation write an equation using the points (-3,-4) (-6,-3) | First, find the slope of the line using the two given points. Then using the slope and either one of the points, use point-slope form to solve for y. Lastly, replace y for f(x) Answer: f(x)=-1/3x-5 |

Using Function Notation write an equation of the horizontal line containing the point (5,2) | A horizontal line is written y=c with a slope of 0 and y-intercept (0,c) Answer: f(x)=2 |

Using Standard Form write an equation of the line containing the point (6,5) and parallel to the line 5x-y=7 | Parallel lines have the same slope. Put the given equation into slope-intercept form. Using point-slope form, solve for the parallel line. Lastly, put the equation in standard form Ax+By=C Answer: 5x-y=25 |

Using Function Notation write an equation of the line containing the point (5,-6) and perpendicular to the line 5y=x-10 | Perpendicular lines have a slope which is the negative reciprocal. Put the given equation into slope-intercept form. Using point-slope form, solve for the perpendicular line. Lastly, put the equation in function notation f(x)=mx+b Answer: f(x)=-5x+19 |

Write an equation of the line in Standard Form which has a slope of 4 and passes through the point (-7,4) | Using point-slope form to solve for the equation, put in standard form Ax+By=C Answer: y-4x=32 |

Created by:
Ssims89