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disa [49]
3 years ago
10

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

Mathematics
1 answer:
Aleks [24]3 years ago
7 0

Answer:

<h2>         y - 6 = ²/₃(x + 5) </h2>

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 = 6

So the point-slope form of the equation:

                                                                   y - 6 = ²/₃(x - (-5))      

                                                           or:    y - 6 = ²/₃(x + 5)

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</span><span>Twice the sum of a number and 3 is equal to three times the difference of the number and 3:
</span>2(n + 3) = 3(n - 3)
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answer
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