Question

no solution, one solution, or infinitely
y=5x-4
y=5x-5

Answer 1

what do the slopes say?

Answer 2

Both lines have equal slopes.

Answer 3

ohh, same slope. better check the intercepts...

Answer 4

No need to check intercepts.

Answer 5

what do you know about 2 lines that have the same slope?

Answer 6

really...

Answer 7

y = 5x + 3
y = 5x + 3

how many solutions?

Answer 8

Equal slopes means parallel lines. Which means no solution as they will NEVER intersect.

The question's 2 lines are y = 5x - 4 and y = 5x - 5

Answer 9

i'm doing a similar questions so .. 2 lines that have the same slope have no solutions right ? @Easyaspi314

Answer 10

negative you have to check the intercepts

Answer 11

Correct. Unless both equations are identical. lol

Answer 12

so what is it?

Answer 13

2x + 3y = 4
4x + 6y = 8

better check the x or y intercepts if they have the same slope

Answer 14

no solution @yyessica_99

Answer 15

thank you @Little_Kay

Answer 16

Np

Answer 17

same slope and different intercepts => no solution

sam slope and same intercepts => infinite solutions

Answer 18

which one is the slope 5x or -4

Answer 19

wow

Answer 20

5x

Answer 21

wow what @pgpilot326

Answer 22

nope, it's the 5 part of the 5x

Answer 23

lol yeah that's what I meant @pgpilot326

Answer 24

ok thats all i wanted to know!! @pgpilot326

Answer 25

2x + 3y = 4
4x + 6y = 8

These 2 equations are identical equations, identical line...as the second equation is the first equation multiplied by 2.

So no need to check intercepts, although for many students that may feel more comfortable. But it isnt necessary if the student can notice that they are the same line.