Hi! I'm stuck on this problem. I've found out the slope, which is -1/3, and the part I'm stuck on is the y intercept. I'm not sure if it's -2 1/2, or -3, or -2 3/4. Please help!! Thank you
Find a linear inequality with the following solution set. Each grid line represents one unit.
(Give your answer in the form ax+by+c>0 or ax+by+c>=0where a, b, and c are integers with no common factor other than 1.)
The y intercept isn't too clear in this picture.
Since you've already found the slope, I would recommend using the point-slope formula, y - y_1 = m(x - x_1).
One point on the graph is (1, -3)
y - -3 = -1/3(x - 1)
y + 3 = -1/3x + 1/3
y = -1/3x - 8/3
3y = -x - 8
x + 3y + 8 = 0
Since the yellow goes down the y axis.
x + 3y + 8 <= 0
Hello! Thank you for your great explanation! It really helped me understand this better! However, the question said that it was wrong because it wants the format to be in a > or >= format. How would I change x+3y+8<=0 to >=? Thank you so much again!
Edit: Nevermind, I got it now! All I had to do was change the signs (+ to -) and - to +! Thank you so much for your help!!
That is very nice interaction GLAZ3D.
Welcome to 'our' web2.0calc forum
Yep, everytime you multiply/divide by a negative, you want to switch the signs.
For example, -3 < 5.
-3 < 5
3 < -5 (multiply/divide by -1).
However, 3 is not less than -5, so you have to switch the signs 3 > -5.
Welcome to the forum. :DD