Answer: y = -x - 1
Step-by-step explanation:
Use the Point-Slope formula: [tex]y - y_1=m_{\perp}(x-x_1)[/tex] where
- (x₁ , y₁) is the given point (0, -1)
- [tex]m_{\perp}\ \text{is the opposite reciprocal slope of the given line}\implies m_{\perp}=-1[/tex]
Insert those values into the formula and solve for y:
y - (-1) = -1(x - 0)
y + 1 = -x
y = -x - 1
