Question

consider line 1 with the equation: \\(y = 4\\)

give the equation of the line parallel to line 1 which passes through \\((-7, -2)\\):

give the equation of the line perpendicular to line 1 which passes through \\((-7, -2)\\):

consider line 2, which has the equation: \\(y = -x - 12\\)

give the equation of the line parallel to line 2 which passes through \\((-6, -5)\\):

give the equation of the line perpendicular to line 2 which passes through \\((-6, -5)\\):

Explanation:

Analyze Line 1 and find the parallel line

Using the Vertical Line Equation knowledge point

$$
LATEXBLOCK0
$$

Find the perpendicular line to Line 1

Using the Vertical Line Equation knowledge point

$$
LATEXBLOCK1
$$

Analyze Line 2 and find the parallel line

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK2
$$

Find the perpendicular line to Line 2

Using the Slope-Intercept Form knowledge point

$$
LATEXBLOCK3
$$

Answer:

Question 1

Give the equation of the line parallel to Line 1 which passes through \((-7,-2)\):
<blank>\(y = -2\)</blank>

Question 2

Give the equation of the line perpendicular to Line 1 which passes through \((-7,-2)\):
<blank>\(x = -7\)</blank>

Question 3

Give the equation of the line parallel to Line 2 which passes through \((-6,-5)\):
<blank>\(y = -x - 11\)</blank>

Question 4

Give the equation of the line perpendicular to Line 2 which passes through \((-6,-5)\):
<blank>\(y = x + 1\)</blank>