Question

Find the equation of a line through P (5,-2) and perpendicular to the line
2x - 7y= 1. If (k, k+2) lies on that line, find the value of k.​

Answer 1

Answer:

equation of line:7x+2y-31

k=3

Step-by-step explanation:

P(5,-2) is on line l

2x-7y=1 is line l2

m*m'=-1

m*2/7=-1

m=-7/2

equation of line:

l=y+2=-7/2(x-5)

l=2y+4=-7x+35

l=7x+2y+4-35=0

l=7x+2y-31=0

Value of k:

7x+2y-31=0

7k+2k+4-31

7k+2k-27=0

9k-27=0

9k=27

k=3