## What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3

Question

What is the equation in point-slope form of the line that passes through the point (-5, 6) and has a slope of 2/3

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Mathematics
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2021-07-22T20:05:18+00:00
2021-07-22T20:05:18+00:00 1 Answers
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## Answers ( )

Answer:y – 6 = ²/₃(x + 5)Step-by-step explanation:The point-slope form of the equation of a line:

y – y₁ = m(x – x₁), where m is the slope and (x₁, y₁) is the point the line passing through.m = ²/₃(-5, 6) ⇒ x₁ = -5, y₁ = 6So the point-slope form of the equation:

y – 6 = ²/₃(x – (-5))or:

y – 6 = ²/₃(x + 5)