Question

Which graph correctly represents x + 2y ≤ 4?

Answer 1

Answer:

Graph is attached below

Step-by-step explanation:

$x + 2y \leq4$

First we replace inequality sign by = sign

x+ 2y = 4

Subtract x on both sides

$2y= -x+4$

divide by 2 on both sides

$y= -\frac{1}{2} x+2$

Make a table for graphing, plug in some numbers for x and find out y

x           y

-2         3

0           2

2          1

Now graph the table

For shading use test point (0,0)

$x + 2y \leq4$

$0 + 0 \leq4$  is true

So we shade the region that contains (0,0)

Answer 2

If you put the formula into Y intercept form which is Y=M(slop)X + B(y int)

you will get
y = -1/2x + 2
B(y int) = 2
M(slope) = -1/2

plot (0,2) on graph then go down 1 left 2. put a point there repeat and connect dots.