Provide the answer and an explanation why that is the answer.

Hello!

To find the slope of the given equation, we would need to convert this equation from standard form into slope-intercept form. Our goal, is to get the variable y, on one side of the equation.

Remember that slope-intercept form is written as y = mx + b. In this form, m is the slope and b is the y-intercept.

2x + 4y = 12 (subtract 2x from both sides)

4y = 12 - 2x (divide both sides by 4)

y = 12/4 - 2/4x → y = -1/2x + 3

Therefore, the slope of this equation is -1/2, which is the final choice listed.

Hey there!!

Formula - y = mx + b

Where m = slope

Equation given : 2x + 4y = 12

...2x + 4y = 12

...4y = 12 - 2x

... y = 12 - 2x / 4

... y = 12 / 4 - 2x/4

... y = 3 - x / 2

... y = -x/2 + 3

Hence, the slope is -1/2

Hope my answer helps!!

boxplot e is the answer