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xz_007 [3.2K]
2 years ago
13

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

Mathematics
1 answer:
OLEGan [10]2 years ago
8 0
<h2>Answer:  y - 2 = -³/₂ (x + 6)</h2>

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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