186k views
5 votes
Which is the graph of the linear equation 1/2x-2y>-6

User MoSheikh
by
8.8k points

1 Answer

3 votes

(1)/(2)x-2y > -6\ \ \ \ |-(1)/(2)x\\\\-2y > -(1)/(2)x-6\ \ \ |change\ signs\\\\2y > (1)/(2)x+6\ \ \ \ |:2\\\\y > (1)/(4)x + 3

y=(1)/(4)x+3\\\\for\ x=0\to y=(1)/(4)\cdot0+3=3\to(0;\ 3)\\\\for\ x=-4\to y=(1)/(4)\cdot(-4)+3=-1+3=2\to(-4;\ 2)

Which is the graph of the linear equation 1/2x-2y>-6-example-1
User Robin Green
by
8.4k points