Answer :
2x+2y=4
-2x from both sides
then you get 2y=2x+4
Divide 2x+4 by 2 and you get y=x+2
-2x from both sides
then you get 2y=2x+4
Divide 2x+4 by 2 and you get y=x+2
2x + 2y = 4
2x - 2x + 2y = 4 - 2y
2y = 4 - 2x
2 2
y = 2 - x
2x + 2(2 - x) = 4
2x + 4 - 2x = 4
2x - 2x + 4 = 4
0x + 4 = 4
-4 -4
0x = 0
0 0
x = 0
2(0) + 2y = 4
0 + 2y = 4
+0 +0
2y = 4
2 2
y = 2
(x, y) = (0, 2)
(x, y) = (2, 0)
[tex]m= \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]
[tex]m = \frac{0 - 2}{2 - 0} [/tex]
[tex]m = \frac{-2}{2} [/tex]
[tex]m = -1[/tex]
2x - 2x + 2y = 4 - 2y
2y = 4 - 2x
2 2
y = 2 - x
2x + 2(2 - x) = 4
2x + 4 - 2x = 4
2x - 2x + 4 = 4
0x + 4 = 4
-4 -4
0x = 0
0 0
x = 0
2(0) + 2y = 4
0 + 2y = 4
+0 +0
2y = 4
2 2
y = 2
(x, y) = (0, 2)
(x, y) = (2, 0)
[tex]m= \frac{ y_{2} - y_{1} }{ x_{2} - x_{1} } [/tex]
[tex]m = \frac{0 - 2}{2 - 0} [/tex]
[tex]m = \frac{-2}{2} [/tex]
[tex]m = -1[/tex]
