Question

Graphing inequalities.
2x + 4y is equal or greater than 4
4x + y is equal or greater than 8

Help me please?

Answer 1

Can someone explain this to me step by step? I do not understand.

Answer 2

First solve each for y


2x + 4y >= 4


4y >= - 2x + 4


y >= - 2x/4 + 4/4


y >= -1/2x + 1

Answer 3

4x + y >= 8

y >= -4x + 8

Answer 4

so

2x + 4y >= 4
4x + y >= 8

turns into

y >= -1/2x + 1
y >= -4x + 8

Answer 5

To graph y >= -1/2x + 1, you follow these steps

1) graph the line y = -1/2x + 1

2) make this line a solid line

3) shade above the line to graph y >= -1/2x + 1

Answer 6

To graph y >= -4x + 8, you follow these steps

1) graph the line y = -4x + 8

2) make this line a solid line

3) shade above the line to graph y >= -4x + 8

Answer 7

does that help?

Answer 8

Where do I plot the points?

Answer 9

graphing the line y = -1/2x + 1

the y - intercept is (0,1)

the slope is -1/2

so you start at (0,1) and go down 1 and to the right 2 units to get to the next point (2,0)

then draw a line through (0,1) and (2,0) to graph y = -1/2x + 1

Answer 10

do the same for the next line as well

Answer 11

Thank you so much!

Answer 12

yw