Question

how many solutions does y=-3x+18 and y=-3x+16 have?

Answer 1

You mean the intersection of those two functions?

Answer 2

Hey Natalie c:
Welcome to OpenStudy.

But `solutions`, they're asking for the points of intersection.
Or in this case, simply the `number` of intersections.

Answer 3

Two lines can intersect:
`once`
`infinitely many times` if they're the same line
`not at all` if they're parallel.

Answer 4

These two lines have the same slope, what does that tell us? :o

Answer 5

that they are consistent.

Answer 6

consistent? XD Hmm

Well.. since they have the same slope, they're parallel.

So they'll either intersect `at every point` (if they're the same line),
or `not at all` (if they're different, but parallel).

Answer 7

So they don't intersect at all? Because of the different intercepts, correct?

Answer 8

Yay Natalie! Good job \c:/

Answer 9

Correct, no solution.

Answer 10

My cyber school was talking about consistent stuff, that's why i mentioned consistent, oops.

Answer 11

Thank you!