*extra points* determine if the lines are perpendicular, parallel, or neither.

Step-by-step explanation:

okay I learned how to do this and here are some tips and tricks

when your trying to find if its parallel,perpendicular,or neither

it is best to find it in slope intercept form. so that way you can compare the two slopes

parallel=same slopes

perpendicular= if you change the sign and reciprocal

neither=it cant be flipped

the first equation is 3x-5y=10

goal:we have to convert this into slope intercept

1)find our x and y intercepts

10/3,0 and 0,2

2)write it in point slope form

y-2=3/5(x-10/3)

y-2=3/5x-2

y=3/5x

3/5 is our slope for the first equation

the second equation:10x+6y=-36

1)find x and y intercepts

0,-6

-18/5,0

now if you want to take a short cut here is what you do

-a/b

so

-10/6

=-5/3 is your slope for the 2nd equation

so 3/5 and -5/3

not parallel because it doesn't have the same slope different slopes!

its perpendicular because

if you flip the reciprocal and change the sign it would be 3/5

b

step-by-step explanation: