Question

Write an equation of the line that passes through (1,2) and is parallel to the line y=-5x+4

Answer 1

Answer:

The equation of the Parallel line to the given line is  5x+y-7=0

Step-by-step explanation:

Explanation:-

Given that the line y = - 5x+4 and point (1,2)

The equation of the Parallel line to the given line is  ax+by+k=0

Given straight line  5x + y -4 =0

The equation of the Parallel line to the given line is  5x+y+k=0

This line passes through the point (1,2)

             5x+y+k=0

            5(1)+2+k=0

⇒              7+k=0

                   k =-7

Final answer:-

The equation of the Parallel line to the given line is  5x+y-7=0