Question 678381
Solve for y.   2x>=y+6 (subtract 6 from both sides) 2x-6>=y which is the same as y<=2x - 6.  That's the graph of a straight line and everything beneath it.  What is the straight line?<P>
y=2x-6 is the equation of the line in slope-intercept form.  It has a slope of 2 and crosses the x-axis at y=-6.  That means one point on the line is (0,-6).  Find another point using the slope 2 = 2/1 = rise/run = y-change/x-change.  If you go 2 spaces up you have to go 1 to the right.  So another point is (1,-4)<P>
Or use y=0 in the equation to find the second point.  0=2x-6 ---> 2x=6 and x=3 so another point is (3,0)<P>
y <= 2x+6 includes that line y=2x-6 and everything beneath it.<P>
{{{graph( 600, 400, -20, 10, -20, 20, 2x>=y+6)}}}
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