Question

Write an equation of a line parallel to the line

Answer 1

Answer: y = -2x - 5

Step-by-step explanation:

The condition for parallelism is that m1 = m2 ie, the gradient of the two lines must be equal.

from the equation given,

y =  -2x  + 8, m1 = -2, therefore m2 = -2. Since the two line passes through the coordinate of (-1, -3 ) , we substitute  for x and y in the equation of a line

y = mx + c to get the value of  , the y - intersect.

-3 = -2 x -1 + c

-3 = 2 + c

solve for c

c = -3 - 2

c = -5.

now , to have the equation of the line , we put c = -7 into the equation

y = mx + c

y = -2x  - 5

Therefore the equation of the line parallel to the line

y = -2x + 8 is

y = -2x - 7