emmabarrett752 emmabarrett752
  • 23-09-2021
  • Mathematics
contestada

What is an equation of the line that passes through the points (-6, 2) and
(-4,-1)?

Respuesta :

JoshEast
JoshEast JoshEast
  • 23-09-2021

Answer:  y - 2 = -³/₂ (x + 6)

Step-by-step explanation:

The slope of this line = (y₂ - y₁) ÷ (x₂ - x₁)

                                   =  (2 - (- 1 )) ÷  (-6 - (-4))

                                   =  3 ÷ (-2)

                                   =  - ³/₂

The equation of the line can be determined using the point-slope form:

y - y₁ = m(x - x₁)

⇒ y - 2 = -³/₂(x - (-6))

   y - 2 = -³/₂ (x + 6)

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