Question 254318
step 1 - find the slope of
{{{2x + 3y = 3}}}
and solve for y to get
{{{Y = (-2/3)x + 1}}}
* slope = (-2/3)
The perpendicular slope is the negative flip, or (3/2).
We solve
{{{2x + ky + 1  =  0}}}
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.