Question

1. given the point, (- 3, 5), find the following:

a) the equation of a vertical line through the point.
b) the equation of a horizontal line through the point.

Explanation:

Step1: Recall vertical line equation

A vertical line has the equation \( x = c \), where \( c \) is the x - coordinate of any point on the line.
For the point \((-3,5)\), the x - coordinate is \(-3\). So the equation of the vertical line through \((-3,5)\) is \( x=-3 \).

Step2: Recall horizontal line equation

A horizontal line has the equation \( y = k \), where \( k \) is the y - coordinate of any point on the line.
For the point \((-3,5)\), the y - coordinate is \( 5 \). So the equation of the horizontal line through \((-3,5)\) is \( y = 5 \).

Answer:

a) The equation of the vertical line is \( x=-3 \)
b) The equation of the horizontal line is \( y = 5 \)