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svetoff [14.1K]
3 years ago
7

What is the equation of the line that passes through the point (-5,5)and has a slope of -1

Mathematics
1 answer:
erastova [34]3 years ago
3 0

Answer:

<h2>           y = - x  </h2>

Step-by-step explanation:

The point-slope form of the equation is y - y₀ = m(x - x₀), where (x₀, y₀) is any point the line passes through and m is the slope:

m = -1

(-5, 5)    ⇒   x₀ = -5,  y₀ = 5

The point-slope form of the equation:

y - 5 = -1(x + 5)

So:

y - 5 = -x - 5         {add 5 to both sides}

y = -x             ←  the slope-intercept form of the equation

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4 0
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