SOLUTION: find the value of k so that the graph of 2x+3y=10 is perpendicular to the graph of 3x+ky=8

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Question 429496: find the value of k so that the graph of 2x+3y=10 is perpendicular to the graph of 3x+ky=8
Answer by poliphob3.14(115) About Me  (Show Source):
You can put this solution on YOUR website!
Solution:Rewrite the equations in the slope-intercept form:
y=%28-2%2F3%29x%2B10%2F3, and
y=%28-3%2Fk%29x%2B8, Since lines are perpendicular the product of their slopes is -1
%28-2%2F3%29%2A%28-3%2Fk%29=-1%2C+solve+this+equation%3A%0D%0A%0D%0A%7B%7B%7B2%2Fk=-1
k=-2
Done.