the line containing the points (1,-6) and (5,3) is perpendicular to the containing the points (4,8) and (-3,K).

Question

1. find the value of K.
2. find the equation of each line in the form of y=mx+b.
could someone please help me with this,I am messing something up. Thank you for your help.

Answer 1

Step1) To find  first line equation.

Line equation through the two points is

  ----> (1)

---> (2)

Step2) To find  second line equation.

  ---> (3)

From equations (1)& (3).

Perpendicular line slopes are negitive reciprocal to each other.

So second line slope would be -4/9.

Substitute the k value in equation (3).

---> (4)

1) value of  .

From (2) & (4).

2) The equations are    and  .