SOLUTION: My problem would be i have to graph: 4x+y ≤ 6. I found the x and y intercepts, (0,6) (3/2,0) but then as i try to verify my answer using slope intercept form 4x+y=6 4x

Algebra ->  Graphs -> SOLUTION: My problem would be i have to graph: 4x+y ≤ 6. I found the x and y intercepts, (0,6) (3/2,0) but then as i try to verify my answer using slope intercept form 4x+y=6 4x      Log On


   

Question 356808: My problem would be i have to graph: 4x+y ≤ 6.
I found the x and y intercepts, (0,6) (3/2,0) but then as i try to verify my answer using slope intercept form
4x+y=6
4x+y-4x=6-4x
y=-4x/1+6 when i plot it this way my line is no longer strait. Am I doing something wrong? Any help would be appreciated thxs.
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
4x%2By-4x=6-4x
y=6-4x
highlight%28y=-4x%2B6%29<--- That's the equation of a straight line.
.
.
.
Now graph the line, you could also use your intercepts.

Choose a point not on the line.
(0,0) is always a convenient choice.
Test the inequality.
4x%2By%3C=6
If the inequality is satisfied, shade the region that contains (0,0).
Otherwise shade the other region.