Question

Find the Slope:

Answer 1

Answer:

4) slope= 0

5) $slope = - \frac{1}{7}$

Step-by-step explanation:

$\boxed{ slope = \frac{y _{2} - y_1 }{x_2 - x_1} }$

4) Slope

$= \frac{10 - 10}{ - 10 - 3}$

$= \frac{0}{ - 13}$

= 0

The slope is zero as the line is a horizontal line (since both points have the same y-coordinate of 10).

5) Slope

$= \frac{5 - 4}{2 - 9}$

$= \frac{1}{ - 7}$

$= - \frac{1}{7}$

Since you have taken (x₁, y₁) to be (9, 4), the value of x₁ should be 9 instead of 2.

Answer 2

so, this is how I always do it as a little shortcut (it's the same as the formula, but it makes more sense lol):

4) 0/13 = 0 = slope

take your two points (-10, 10) and (3, 10) and just draw them relative to each other (it doesn't have to be to scale or anything)

. (-10, 10)           |     . (3,10)

                         |

                         |      

                         |    

------------------------------------------------

                         |

                         |

                         |

                         |

then, you just see how far up you go from (-10, 10) to get to (3, 10) --> look at the y-values, in this situation you do not go up or down, this means the "rise" for "rise/run" (slope) is 0

. (-10, 10)           |     . (3,10)

                         |

                         |      

                         |    

------------------------------------------------

                         |

then, you just see how far to the right you go from (-10, 10) to get to (3, 10) --> look at the x-values, in this situation you go over 13 units, this means the "run" for "rise/run" (slope) is 13

take your "rise" and your "run" and divide: 0/13 = 0**this is your slope because it is a horizontal line

5) 1/7 = slope

follow the same steps as above (just a quick little sketch on paper)

(9, 4) and (2, 5)

rise = 1

run =  7

rise/run = 1/7 = slope