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disa [49]
2 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]2 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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3x² + 8x + 4
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Then I find two numbers that multiply to make 4, which are 1 and 4, or 2 and 2. 
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To figure out which one to use, I'm just going to FOIL them all. 
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The factored form is: 
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3x + 2 = 0
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x = -2/3

x + 2 = 0 
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