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Can you help me with this

Can you help me with this-example-1

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Answer: -1/5

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Step-by-step explanation:

Pick any two points on the line to apply the slope formula.

I'll select (-5,1) and (5,-1)


(x_1,y_1) = (-5,1) \text{ and } (x_2,y_2) = (5,-1)\\\\m = \text{slope} = \frac{\text{rise}}{\text{run}} = \frac{\text{change in y}}{\text{change in x}}\\\\m = \frac{\text{y}_(2) - \text{y}_(1)}{\text{x}_(2) - \text{x}_(1)}\\\\m = (-1 - 1)/(5 - (-5))\\\\m = (-1 - 1)/(5 + 5)\\\\m = (-2)/(10)\\\\m = -(1)/(5)\\\\

The slope as a fraction is -1/5

A slope of -1/5 means " go down 1, then to the right 5 units".

An example of this motion is when going from (-5,1) to (0,0)

Another example would be going from (0,0) to (5,-1)

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The "down 1, right 5" motion is because

  • slope = rise/run = -1/5
  • rise = -1 = go down 1
  • run = 5 = go to the right 5
User Suzan
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