SOLUTION: What is the value of k if the line 2x + 3y = 3 is perpendicular to the line 2x + ky + 1 = 0?

Question 254318: What is the value of k if the line 2x + 3y = 3 is perpendicular to the line 2x + ky + 1 = 0?
Found 3 solutions by drk, vleith, richwmiller:
Answer by drk(1908)   (Show Source): You can put this solution on YOUR website!
step 1 - find the slope of

and solve for y to get

* slope = (-2/3)
The perpendicular slope is the negative flip, or (3/2).
We solve

for y to get
y = (-2/k)x - 1/k.
The slope here is
-2/k which equals our perpendicular slope. We get
-2/k = (3/2)
k = -4/3.
Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
for two lines to be perpendicular, their slopes have to have a product of -1
Find the slope of the first line

So the slope is
Find the slope of the second line

So the slope of the second line is
Set the product of the two slopes equal to -1

Plot the graphs and verify

Answer by richwmiller(17219)   (Show Source): You can put this solution on YOUR website!

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