personpanda123
Answered

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Find the slope of the line that passes through the
points (-3,5) and (3, 1).

Sagot :

potato3456

Answer:

Slope = -2/3

Step-by-step explanation:

Slope = change in y / change in x OR the rise/run

Slope = (5 - 1)/(-3 -3)

Slope = 4/-6

Slope = -2/3

Hope this helped!

ItzStarzMe

Solution :

As we know that,

  • [tex] \boxed{\red{\bf{Slope \: (m) \: = \: \dfrac{y_{2} \: - \: y_{1} }{x_{2} \: - \:x_{1}} }}} \: \bigstar[/tex]

We have :

  • [tex]\sf{x_1 \: = \: -3}[/tex]
  • [tex]\sf{y_1 \: = \: 5}[/tex]
  • [tex]\sf{x_2 \: = \: 3}[/tex]
  • [tex]\sf{y_2 \: = \: 1}[/tex]

Substituting the values :

[tex] \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: - \: ( - 3)} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{1 \: - \: 5 }{3 \: + \: 3} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \dfrac{ - 4}{6} } \\ \\ \longmapsto \: \sf{Slope \: (m) \: = \: \cancel\dfrac{ - 4}{6} } \\ \\ \longmapsto \: \bf{ \orange{Slope \: (m) \: = \: \dfrac{ - 2}{3} }}[/tex]

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