Questions: Write equations for the horizontal and vertical lines passing through the point (-8,-2). horizontal line: vertical line:

Solution Steps

To find the equations of horizontal and vertical lines passing through a given point, we need to understand the properties of these lines:

• A horizontal line has a constant y-value for all x-values. Therefore, the equation of a horizontal line passing through a point \((x_0, y_0)\) is \(y = y_0\).
• A vertical line has a constant x-value for all y-values. Therefore, the equation of a vertical line passing through a point \((x_0, y_0)\) is \(x = x_0\).

Given the point \((-8, -2)\):

• The horizontal line will have the equation \(y = -2\).
• The vertical line will have the equation \(x = -8\).

The given point is \((-8, -2)\).

The equation of a horizontal line passing through the point \((-8, -2)\) is given by the constant y-value. Therefore, the equation is: \[ y = -2 \]

The equation of a vertical line passing through the point \((-8, -2)\) is given by the constant x-value. Therefore, the equation is: \[ x = -8 \]

Final Answer