XXIsabeIIaXX
XXIsabeIIaXX XXIsabeIIaXX
  • 23-10-2021
  • Mathematics
contestada

What is the slope of the line that passes through (-4, 5) and (2, -3)?

Respuesta :

jhuang7119
jhuang7119 jhuang7119
  • 23-10-2021

Answer:

[tex]m=\frac{-4}{3}[/tex]

[tex]y=\frac{-4}{3}x -\frac{1}{3}[/tex]

Step-by-step explanation:

Use the Slope formula...

[tex]\frac{-3-5}{2-(-4)}[/tex]

[tex]\frac{-8}{6} = \frac{-4}{3}\\\frac{-4}{3} = m[/tex]

Plug the slope into the Point-Slope formula...

[tex]y -(5) = \frac{-4}{3}(x-(-4)) \\y+5=\frac{-4}{3}x +\frac{-16}{3}\\y=\frac{-4}{3}x +\frac{-1}{3}[/tex]

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