Two Point form for a line through (a,b) and (c,d) is
[tex](c-a)(y-b) = (d-b)(x-a)[/tex]
Here that's
[tex](-4 - 3)(y + 4) = (6 - -4)(x - 3)[/tex]
[tex]-7y -28 = 10x - 30[/tex]
[tex]-28+30 = 10x + 7y[/tex]
Answer: [tex]10x + 7y = 2[/tex]
Check:
10(3)+7(-4)=30-28=2, good
10(-4)+7(6)=-40+42=2, good
