Question

find equations of the lines that passe through the given point and are parallel to and perpendicular to the given line Y +4 =0 (-6,3)

Answer 1

Answer:

y = 3 and x = - 6

Step-by-step explanation:

y + 4 = 0 ( subtract 4 from both sides )

y = - 4

this is the equation of a horizontal line, parallel to the x- axis.

a parallel line will also be horizontal with equation

y = c ( c is the value of the y- coordinates the line passes through )

the line passes through (- 6, 3 ) with y- coordinate 3 , then

y = 3 ← equation of parallel line

a line perpendicular to the given line will be a vertical line with equation

x = c ( c is the value of the x- coordinates the line passes through )

the line passes through (- 6, 3 ) with x- coordinate - 6 , then

x = - 6 ← equation of perpendicular line