Question

write equations for the horizontal and vertical lines passing through the point (-8, -3).
horizontal line:
vertical line:

Explanation:

Step1: Recall horizontal line equation

A horizontal line has a constant y - value for all x. For a point \((x_0,y_0)\), the equation of the horizontal line is \(y = y_0\). Here, the point is \((-8,-3)\), so \(y_0=-3\). So the equation of the horizontal line is \(y=-3\).

Step2: Recall vertical line equation

A vertical line has a constant x - value for all y. For a point \((x_0,y_0)\), the equation of the vertical line is \(x = x_0\). Here, \(x_0=-8\), so the equation of the vertical line is \(x=-8\).

Answer:

horizontal line: \(y = - 3\)
vertical line: \(x=-8\)