Question

answer: \\(\frac{4}{3}\\)
#______ write the equation of the line perpendicular to the line \\(x = -3\\) passing through the point \\((-4, -1)\\).

equation:__________

circle the number that corresponds to the type of line in the equation you wrote.

1. horizontal
2. vertical

to move to the next problem, find the value of the number in the equation you wrote.

Explanation:

Step1: Identify line type of \(x=-3\)

\(x=-3\) is a vertical line.

Step2: Determine perpendicular line type

Perpendicular to vertical is horizontal (form \(y=k\)).

Step3: Find \(k\) using point \((-4,-1)\)

Horizontal line through \((-4,-1)\) has \(y=-1\).

Step4: Classify the line type

\(y=-1\) is horizontal (option 1).

Answer:

Equation: \(y = -1\)
Circle: 1) Horizontal
Value in equation: \(-1\)