Please help with this math question

<p>Alright folks, this question came from Barron's SAT math section . I know the final answer but having a hard time with the process of how to get to the answer.
What value of K will make the line containing points (k,3) and (-2,1) perpendicular to the line containing (5, k) and (1,0)?
The answer is -4/3 but how do you get there? Please explain step by step.
Thank you</p>

<p>Find the slopes . Let them be ‘a’ and ‘b’. Then we can say that the product of these i.e. ab = -1 . Solve for k.</p>

<p>Can you show me how to solve for K ?</p>

<p>(k+2)/3-1=(k+2)/2
(5-1)/k= 4/K
(k+2)/2 * 4/K = -1 (perpendicular )
2(k+2)= -k
2k+4 = -k
3k=-4
k= -4/3</p>

<p>Thanks Rookie56!</p>