1. ## Points and lines

Hello,

Is there a simpler way of locating whether any of the points (-3,-2), (-1,-2), (1,-2), (3,-2) are below both these lines?

2x-y=4 and x+2y=-3

I'm just substituting each and every x value of the points in and seeing whether the answer's y value is below the equation's y value.

Is there a simpler way than substitution or graphing (I can't use graphs here)?

2. Originally Posted by Kataangel
Hello,

Is there a simpler way of locating whether any of the points (-3,-2), (-1,-2), (1,-2), (3,-2) are below both these lines?

2x-y=4 and x+2y=-3

I'm just substituting each and every x value of the points in and seeing whether the answer's y value is below the equation's y value.

Is there a simpler way than substitution or graphing (I can't use graphs here)?
Depends on the definition of "simpler".
Using vectors is a rather simple way to answer it.

However, from the phrasing of the question and the data given, the "plug & check" is about as simple as one can get.

"below" means "less than" in your context.

The first item I would do is re-write the equations and isolate y.