beastneversleep2k beastneversleep2k
  • 09-11-2021
  • Mathematics
contestada

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

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SDCInfinity
SDCInfinity SDCInfinity
  • 10-11-2021

Answer:

y = -x - 2

Step-by-step explanation:

Formulae:

Slope formula: m = (y₂ - y₁)/(x₂ - x₁)

  • m = slope
  • y₂ = second y value
  • y₁ = first y value
  • x₂ = second x value
  • x₁ = first x value

Point-slope form: y - y₁ = m(x - x₁)

  • y₁ = chosen y value
  • m = slope
  • x₁ = chosen x value

Slope interecept form: y = mx + b

  • m = slope
  • b = y-intercept value

[tex]m=\frac{-4-3}{2-(-5)}\\m=\frac{-7}{7}\\m=-1\\\\y-3=-(x-(-5))\\y-3=-x-5\\y=-x-2[/tex]

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