Question

write an equation for a line passing through the point \\((6, -6)\\) that is parallel to the line \\(x = -1\\). then write a second equation for a line passing through the point \\((6, -6)\\) that is perpendicular to the line \\(x = -1\\).

the equation of the parallel line is \\(\square\\).
(simplify your answer. type an equation. use integers or fractions for any numbers in the expression.)

Explanation:

Analyze the given line

Using the Vertical Lines knowledge point

$$ x = -1 $$

Find the parallel line

Using the Parallel and Perpendicular Lines and Vertical Lines knowledge points

$$
LATEXBLOCK0
$$

Find the perpendicular line

Using the Parallel and Perpendicular Lines and Horizontal Lines knowledge points

$$
LATEXBLOCK1
$$

Answer:

Write an equation for a line passing through the point (6, -6) that is parallel to the line x = -1. Then write a second equation for a line passing through the point (6, -6) that is perpendicular to the line x = -1.

The equation of the parallel line is <blank>\(x = 6\)</blank>.
(Simplify your answer. Type an equation. Use integers or fractions for any numbers in the expression.)