SOLUTION: what is the slope intercept inequality of the line with the points of (0,-1) (6,3)? it has a straight line and shaded on bottom

Algebra ->  Inequalities -> SOLUTION: what is the slope intercept inequality of the line with the points of (0,-1) (6,3)? it has a straight line and shaded on bottom      Log On


   

Question 970672: what is the slope intercept inequality of the line with the points of (0,-1) (6,3)? it has a straight line and shaded on bottom
Found 2 solutions by stanbon, josgarithmetic:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
what is the slope intercept inequality of the line with the points of (0,-1) (6,3)? it has a straight line and shaded on bottom
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Find the equation of the border::
slope = (3--1)/(6-0) = 4/6 = 2/3
intercept = f(0) = -1
Equation of border is y = (2/3)x -1
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Find equation of the shaded area::
Since the y-values of the shaded area are BELOW
the y-values of the line for any particular value
of "x", the shaded area satisfies "y is LESS than
(2/3)x-1
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Combining the border and the shaded area points you get::
Ans: y <= (2/3)x-1
----------------------------
Cheers,
Stan H.

Answer by josgarithmetic(39617) About Me  (Show Source):
You can put this solution on YOUR website!
If the shaded part is for the solution of the inequality, you want to finish showing y%3Cexpression.


y=mx%2Bb
b=y-mx

m=%283-%28-1%29%29%2F%286-0%29
m=4%2F6
m=2%2F3

Pick any of the two points:
b=-1-%282%2F3%29%2A0
b=-1--------but one of the points, the one I picked, IS the vertical axis intercept.
-
The corresponding equation is y=%282%2F3%29x-1; the inequality you want for your description is highlight%28y%3C%282%2F3%29x-1%29.

graph%28300%2C300%2C-4%2C4%2C-4%2C4%2Cy%3C%282%2F3%29x-1%29