Question

A line which joins the point A(3, k) and B(-2, 5) is parallel to another line whose equation is 5y + 2x = 10. Find the value of K.

Answer 1

5y = −2x + 10
 y = −2x +2
        5
m1 = −2
          5
m1 = m2
−2 = −2
 5       5
 5−k  =−2
−2−3    5
5(5−k) =−2(−2−3)
25−5k = 4+6
   −5k =10−25
   −5k = −15
       k = 3