SOLUTION: hi i need help with 1. finding the slope for -1/2x-y=3/4 2. How do you graph y>|x+2|-3

Algebra ->  Linear-equations -> SOLUTION: hi i need help with 1. finding the slope for -1/2x-y=3/4 2. How do you graph y>|x+2|-3      Log On


   

Question 53727: hi i need help with 1. finding the slope for -1/2x-y=3/4
2. How do you graph y>|x+2|-3
Answer by funmath(2933) About Me  (Show Source):
You can put this solution on YOUR website!
1. We need to solve the equation for y and put the equation into slope intercept form:y=mx+b, where m=slope and (0,b)=y-intercept.
-%281%2F2%29x-y=3%2F4
%2B%281%2F2%29x-%281%2F2%29x-y=%281%2F2%29x%2B3%2F4
-y=%281%2F2%29x%2B3%2F4
-1%28-y%29=-1%28%281%2F2%29x%2B3%2F4%29
y=%28-1%2F2%29x-3%2F4
The coefficient of x is the slope.
m=-1/2
---------------------------------------------------------------
2.y>|x+2|-3
I don't have the capability of shading, so you'll have to use your imagination.
y=|x| Looks like a V, like this:
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%29%29
y=|x+2|-3 Looks like the above only the +2 on the inside of the absolute value means that you shift left 2 units. The -3 on the outside means you shift down 3 units.
graph%28300%2C200%2C-10%2C10%2C-10%2C10%2Cabs%28x%2B2%29-3%29
If you check a point outside of the V like (0,0) you get:
0>|0+2|-3
0>2-3
0>-1
Shade outside of the V.
Happy calculating!!!!