Which of the following points lies on the line 4x - 5y + 20 = 0?

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Question: Which of the following points lies on the line 4x - 5y + 20 = 0?

Options:

Correct Answer: (0, -4)

Solution:

Substituting (0, -4) into the equation gives 4(0) - 5(-4) + 20 = 0, which is true.

Which of the following points lies on the line 4x - 5y + 20 = 0?

Which of the following points lies on the line 4x - 5y + 20 = 0?

Step 1: Identify the equation of the line, which is 4x - 5y + 20 = 0.
Step 2: Choose a point to test if it lies on the line. In this case, we will test the point (0, -4).
Step 3: Substitute the x-coordinate (0) and the y-coordinate (-4) into the equation: 4(0) - 5(-4) + 20.
Step 4: Calculate the left side of the equation: 4(0) = 0, -5(-4) = 20, so 0 + 20 + 20 = 40.
Step 5: Check if the result equals 0. Since 40 does not equal 0, the point (0, -4) does not lie on the line.

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