Question

Please provide the answer and an explanation why that is the answer.

Answer 1

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!!

Answer 2

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.