Question

1. the graph of $2x + 4y = 12$ is shown on the grid.

options: (6,0), (0,6), (3,6), (-2,8)

Explanation:

Step1: Comprobar si (6,0) satisface la ecuación

Sustituir \( x = 6 \) y \( y = 0 \) en \( 2x + 4y = 12 \):
\( 2(6) + 4(0) = 12 + 0 = 12 \), que es igual al lado derecho.

Step2: Comprobar (0,6)

Sustituir \( x = 0 \), \( y = 6 \):
\( 2(0) + 4(6) = 0 + 24 = 24
eq 12 \).

Step3: Comprobar (3,6)

Sustituir \( x = 3 \), \( y = 6 \):
\( 2(3) + 4(6) = 6 + 24 = 30
eq 12 \).

Step4: Comprobar (-2,8)

Sustituir \( x = -2 \), \( y = 8 \):
\( 2(-2) + 4(8) = -4 + 32 = 28
eq 12 \).

Answer:

(6, 0)