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jekas [21]
3 years ago
8

Write the equation of the line perpendicular to y = *x+7 with a y-intercept of (0-1)

Mathematics
1 answer:
I am Lyosha [343]3 years ago
7 0

Answer:  y = -x - 1

<u>Step-by-step explanation:</u>

Use the Point-Slope formula: y - y_1=m_{\perp}(x-x_1)   where

  • (x₁ , y₁) is the given point (0, -1)
  • m_{\perp}\ \text{is the opposite reciprocal slope of the given line}\implies m_{\perp}=-1

Insert those values into the formula and solve for y:

y - (-1) = -1(x - 0)

y + 1 = -x

y      = -x - 1

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<span>=<span><span><span><span><span>(0.75)</span><span>(<span>5v</span>)</span></span>+<span><span>(0.75)</span><span>(11)</span></span></span>+<span><span>(<span>−0.25</span>)</span><span>(11)</span></span></span>+<span><span>(<span>−0.25</span>)</span><span>(v)</span></span></span></span><span>=<span><span><span><span><span><span>3.75v</span>+8.25</span>+</span>−2.75</span>+</span>−<span>0.25v

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<span>=<span><span><span><span>3.75v</span>+8.25</span>+<span>−2.75</span></span>+<span>−<span>0.25v</span></span></span></span><span>=<span><span>(<span><span>3.75v</span>+<span>−<span>0.25v</span></span></span>)</span>+<span>(<span>8.25+<span>−2.75</span></span>)</span></span></span><span>=<span><span>3.5v</span>+5.5

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