Question

(03.03 MC) Choose the graph below that correctly represents the equation 2x + 4y = 24. (5 points) Select one: a. line through the points 0 comma 6 and 12 comma 0 b. line through the points 0 comma negative 6 and 12 comma 0 c. line through the points 0 comma negative 12 and 6 comma 0 d. line through the points 0 comma 12 and 6 comma 0

Answer 1

your line goes through both (0,6) and (12,0)

Explanation:

Ok so you are describing some lines you see I think:

I see some of these as points you mentioned:

(0,6) , (0,-6) , (6,0)

So let's see which of these work:

(0,6)?

2(0)+4(6)=24

24=24

(0,6) does work!

The other point you have listed with (0,6) is (12,0).

Let's try (12,0)

2(12)+4(0)=24

24+0=24

24=24

(12,0) works!

So your line goes through both (0,6) and (12,0)

Answer 2

The correct option is A) Line through the point (0,6) and (12,0).

Explanation:

Consider the provided equation 2x + 4y = 24.

Substitute x = 0 in the provided equation.

2x + 4y = 24

2(0) + 4y = 24

4y = 24

y = 6

Thus, the points which satisfy the equation is (0,6).

Now, substitute x = 12 in the provided equation.

2x + 4y = 24

2(12) + 4y = 24

24 + 4y = 24

4y = 0

y = 0

Thus, the points which satisfy the equation is (12,0).

Therefore, the correct option is A) Line through the point (0,6) and (12,0).