Question

What is the equation of a parallel line to y = -5x + 2 that passes through the point (-1, 4)?

Answer 1

Answer:

The equation of the Parallel line passes through the point (-1,4) is

y = -5 x -1

Step-by-step explanation:

Explanation:-

Given the equation of the line y = -5 x + 2

Given point (-1 , 4 )

The equation of the parallel line of a given line is 5x + y +k=0 ...(i)

The equation (i) passes through the point (-1,4)

                 5(-1)+4+k=0

                -5 +4 +k =0

                    -1 + k = 0

                         k = 1

The equation of the Parallel line passes through the point (-1,4) is

   y = -5 x -1