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

1 Answer

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Answer: y = -x - 1

Explanation:

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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