SOLUTION: I need your help with changing this inequality to slope intercept form x+2y<10 Im not sure of the steps.

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Question 115077This question is from textbook
: I need your help with changing this inequality to slope intercept form

x+2y<10

Im not sure of the steps. This question is from textbook

Found 2 solutions by stanbon, solver91311:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
x+2y<10
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2y < -x+10
y < (-1/2)x + 5
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Comment: It is not proper to say this is the slope-intercept
form of the inequality.
The BOUNDARY of the solution half-plane is the LINE y = (-1/2)x+5,
but you cannot describe the inequality as being in slope-intercept
form.
===============
Cheers,
Stan H.

Answer by solver91311(24713) About Me  (Show Source):
You can put this solution on YOUR website!
You do it exactly the same way you would do it for an equation, except that if you either multiply or divide by a negative number, you must reverse the sense of the inequality. That isn't going to happen in your example, but it is something to keep in mind if you work other problems like this.


x%2B2y%3C10
2y%3C-x%2B10
y%3C%28%28-1%29%2F2%29x%2B5

And the graph would be a dashed line with a slope of -1%2F2 intersecting the y-axis at 5, with the shaded area everything below and to the left of the line.
The graph shows the line:
graph%28600%2C600%2C-10%2C10%2C-10%2C10%2C%28-1%2F2%29x%2B5%29