iamhappy

ok Melody, I do understand. :) I may have assumed something that wasn't true. :( I mean, kenisan could have done it her/himself, but the way of him/her's wording did make it seem like she got the answer randomly from another forum site or something like that. :(

ok thank you!!!! I also got the answer eventually this way:

-x + 2y + 1 > 0 is the answer. :) 

Let's find the equation of the dashed line first. From the graph, we can see that it has a slope of 1/2 and a y-intercept of -1/2 so using slope-intercept form, the equation of the line is y = 1/2x - 1/2. Since the line is dashed and not solid, we know that we will use either < or > instead of ≤ or ≥, and because we can see that the shaded region is above the dashed line, we know that the linear equation is y > 1/2x - 1/2. However, we want the answer to be in the form ax + by + c > 0 where a, b, and c are integers so therefore:

y > 1/2x - 1/2

= 2y > x - 1

= -x + 2y + 1 > 0

yeah...

Maybe I shouldn't have given kenisen the answer, but I mean he/she did get half of the answer, so i guess, he/she already tried and did their work, not only seeking for the answer. :)

I think that should be right since I remember doing it a while ago in one of my courses, and here, geno also got the same answer...

First, I solved for y,  \(y = \frac{kx - x}{3} = \frac{k - 1}{3} x.\) 
Substituting is next, \(3x + \frac{k - 1}{3} x = k \cdot \frac{k - 1}{3} x.\)
 

Solve, and get values of k are 4, -2. 

 :)

that's not right, but thank you anyways!!!

Thank you!!!! Very well explained and I now know how to do it well!

thank you!!!!!!!!!

Yep!!!!!