Respuesta :

Answer: [tex]m=\frac{5}{3} =1.67[/tex]

Step-by-step explanation:

  1. Original equation:  [tex]5x-3y=-12[/tex]
  2. Subtract 5x from both sides of the equation: [tex]-3y=-5x-12[/tex]
  3. Divide both sides of the equation by -1: [tex]3y=5x+12[/tex]
  4. Divide both sides of the equation by 3 to get y on the left, leaving the equation in [tex]y=mx+b[/tex] form: [tex]y=\frac{5}{3}x+4[/tex]
  5. Evaluate. Slope is equal to m in this form, so the slope is [tex]m=\frac{5}{3}[/tex].

Hope this helps!

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