Question

graph the equation below.
$2x + 6y = 12$
show your work here

Explanation:

Step1: Find x-intercept (y=0)

Set \( y = 0 \) in \( 2x + 6y = 12 \):
\( 2x + 6(0) = 12 \)
\( 2x = 12 \)
\( x = 6 \). So x-intercept is \( (6, 0) \).

Step2: Find y-intercept (x=0)

Set \( x = 0 \) in \( 2x + 6y = 12 \):
\( 2(0) + 6y = 12 \)
\( 6y = 12 \)
\( y = 2 \). So y-intercept is \( (0, 2) \).

Step3: Graph the line

Plot points \( (6, 0) \) and \( (0, 2) \), then draw a line through them.

Answer:

The line passes through \((6, 0)\) and \((0, 2)\) (graph by plotting these points and connecting them).