Question

Find K if the lines 3x-5y=9 and 2x+key=11 are a) parallel and b) perpendicular

So for A) I have to find the slope, so would I set the x's equal to each other? And from there, I can find B) because the slope is just the reciprocal. I'm just having trouble finding the slope I guess I should say.

Answer 1

first line
5 y = 3 x - 9
slope = -3/5

second line
assume you mean 2x+ky=11
k y = -2 x + 11
slope = -2/k

now
for parallel, same slope
-3/5 = -2/k
k = 10/3

for perpendicular new slope = -1/oldslope

5/3 = -2/k
k = -6/5

Answer 2

THANK YOU

Answer 3

For Parallel, k = -10/3
For Perpendicular k = 6/5