SOLUTION: 1-graph the inequality on a plane. 3x+4y<or equal to 12. 2-Also graph the equation using the slope and the y-intercept, y=4/3x+8

Algebra ->  Graphs -> SOLUTION: 1-graph the inequality on a plane. 3x+4y<or equal to 12. 2-Also graph the equation using the slope and the y-intercept, y=4/3x+8      Log On


   

Question 366564: 1-graph the inequality on a plane. 3x+4y
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
3x%2B4y%3C=12
4y%3C=-3x%2B12
y%3C=-%283%2F4%29x%2B3
First graph the line y=-%283%2F4%29x%2B3
.
.
.
graph%28300%2C300%2C-5%2C5%2C-5%2C5%2C0%2C-%283%2F4%29x%2B3%29
.
.
.
Now choose a point not on the line.
(0,0) is a convenient choice.
Test the inequality.
If the inequality is satisfied, shade the region containing (0,0).
If not, shade the region that does not contain (0,0).
3x%2B4y%3C=12
3%280%29%2B4%280%29%3C=12
0%3C=12
True, shade the region containing (0,0)
.
.
.
Solved by pluggable solver: Plot Any Inequality
Graphing function 3x%2B4y%3C=12:

graph%28+300%2C+300%2C+-10%2C+10%2C+-10%2C+10%2C+3x%2B4y%3C=12+%29