Question

Select all the points that are on the graph of the equation 2x + 4y = 24

(6,0)
(-10, 11)
(0,6)
(-4,4)
(4,4)

Answer 1

• (-10,11)
• (0,6)
• (4,4)

Explanation:

• 1. (6,0)

Substituting x = 6 and y = 0 into the equation:

2(6) + 4(0) = 12 + 0 = 12, which is not equal to 24. Therefore, (6,0) is not on the graph.

• 2. (-10,11)

Substituting x = -10 and y = 11 into the equation:

2(-10) + 4(11) = -20 + 44 = 24, which is equal to 24. Therefore, (-10,11) is on the graph.

• 3. (0,6)

Substituting x = 0 and y = 6 into the equation:

2(0) + 4(6) = 0 + 24 = 24, which is equal to 24. Therefore, (0,6) is on the graph.

• 4. (-4,4)

Substituting x = -4 and y = 4 into the equation:

2(-4) + 4(4) = -8 + 16 = 8, which is not equal to 24. Therefore, (-4,4) is not on the graph.

• 5. (4,4)

Substituting x = 4 and y = 4 into the equation:

2(4) + 4(4) = 8 + 16 = 24, which is equal to 24. Therefore, (4,4) is on the graph.

Therefore, the points that are on the graph of the equation 2x + 4y = 24 are:

• (-10,11)
• (0,6)
• (4,4)

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