Question

write the equations of the horizontal and vertical lines through the given point (5,4). choose the correct equation for the horizontal line through the point. a. y = 5 b. y = 4 c. x = 4 d. x = 5

Explanation:

Step1: Recall line - equation rules

The equation of a horizontal line through the point \((x_0,y_0)\) is \(y = y_0\), and the equation of a vertical line through the point \((x_0,y_0)\) is \(x=x_0\).

Step2: Identify the horizontal - line equation

For the point \((5,4)\), the horizontal line has the equation \(y = 4\) since the \(y\) - coordinate is constant for all points on a horizontal line.

Answer:

B. \(y = 4\)