Question

write equations for the horizontal and vertical lines passing through the point (0, 8). horizontal line: vertical line:

Explanation:

Step1: Recall the equation of a horizontal line

A horizontal line has the form \(y = k\), where \(k\) is the \(y\) - coordinate of all points on the line. Given the point \((0,8)\), the \(y\) - coordinate is \(8\). So the equation of the horizontal line is \(y=8\).

Step2: Recall the equation of a vertical line

A vertical line has the form \(x = h\), where \(h\) is the \(x\) - coordinate of all points on the line. Given the point \((0,8)\), the \(x\) - coordinate is \(0\). So the equation of the vertical line is \(x = 0\).

Answer:

horizontal line: \(y = 8\)
vertical line: \(x=0\)