Question

Find the equations of two straight lines which are parallel to the straight line x+7y+2 = 0 and a unit distance from the point (2 , -1).

Answer 1

Answer: x - 7y + 3 = 0

Step-by-step explanation: Let the equation of line AB be x + 7y +2 = 0

, point be ( 2, -1 )

If two lines are parallel to each other then their slope are equal

Since line CD ║ AB

thus, slope of line CD = slope of line AB...(1)

x + 7y + 2 =0

x + 2 = 7y

x +2 /7 =y

x/7 + 2/7 = y

This equation is form of Y = mx +c

where m is slope

slope of line AB = 1/7

slope of CD = 1/7

equation of a line passing through a point ( x₀ ,y₀) having slope m is

(y -y₀) = m ( x-x₀)

y- 2 = 1/7 (x +1 )

7 ( y-2) = x+ 1

7y - 2 = x + 1

-2 -1 = x-7y

x - 7y = -3

x - 7y + 3 = 0

Required equation

X - 7 y + 3 = 0

Answer 2

Step-by-step explanation:

pls see the attachment above

ps. Ignore the handwriting