Question

Determine if the lines are parallel, perpendicular , same line, or none of the above

y = -3/5x+2 and y= 5/3x+2

Answer 1

parallel line have the same slope. perpendicular lines have slopes m1 and m2, where m1m2=-1. Here the slopes are (-3/5)(5/3)=-1 so the lines are perpendicular

Answer 2

thanks!!! Will you help me with one more? :)

Answer 3

sure

Answer 4

okay so its the same deal determining weather lines are parallel perpendicular or the same

y = -3/5x+2 and 3x+5y = 20

Answer 5

re-write the second line as
y=(-3/5)+4
compare with first line
y=(-3/5)x+2

Answer 6

are the slope the same or different?

Answer 7

same?

Answer 8

yes. the slopes are both -3/5

Answer 9

now...are they the same line? another way to say this would be: are the two equations identical?

Answer 10

yes

Answer 11

the two equations are the same? are you sure?

Answer 12

no they are not the same they have the same slope

Answer 13

(-3/5)x+4
(-3/5)x+2

Answer 14

correct

Answer 15

so they are different lines.

Answer 16

but they have the same slope so, this means...?

Answer 17

they are parallel?

Answer 18

yep :)

Answer 19

Thank you!!!!!!

Answer 20

welcome