Respuesta :

In simple words, The question is asking us to find the Slope of the given line...

[tex] \boxed{ \sf \: m = \frac{rise}{run} = \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } }[/tex]

  • The letter m represents slope

To find the slope, We need to take two point and then identitify x1, x2, y1, y2

  • (3,-4)
  • (-1,8)

Now,

[tex] \tt \: m = \frac{8 - ( - 4)}{ - 1 - 3} [/tex]

[tex] \tt \: m = \frac{8 + 4}{ - 4} [/tex]

[tex] \tt \: m = \frac{12}{ - 4} [/tex]

[tex] \boxed{ \bf \: slope = - 3}[/tex]

Solution:

Note that:

  • Slope = Rise/Run
  • Rise and Run stated in picture

Step-1: Pick and two points on the line.

  • My chosen points are: (0,5) and (2,-1)

Step-2: Use the formula y₂ - y₁/x₂ - x₁:

  • y₂ - y₁/x₂ - x₁ = Slope
  • => -1 - 5/2 - 0 = Slope
  • => -6/2 = Slope
  • => -3 = Slope

The slope of the line is -3.

Ver imagen Аноним

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