Question

What is a point on the line y = (4/5)x + 3?

1) (0, 3)
2) (3, 0)
3) (5, 4)
4) (4, 5)

Answer 1

After substituting the x-values of each provided point into the equation y = (4/5)x + 3, it is clear that only option 1, (0, 3), is a correct point on the line.

Step-by-step explanation:

The question asks for a point on the line given by the equation y = (4/5)x + 3. To determine which of the provided options is a point on this line, we can simply plug the x-values of each point into the equation and see if the corresponding y-value matches.

• For option 1: If x = 0, y should be (4/5)×0 + 3 = 3, so (0, 3) is on the line.
• For option 2: If x = 3, y should be (4/5)×3 + 3, which does not equal 0, so (3, 0) is not on the line.
• For option 3: If x = 5, y should be (4/5)×5 + 3 = 7, not 4, so (5, 4) is not on the line.
• For option 4: If x = 4, y should be (4/5)×4 + 3 = 6.2, not 5, so (4, 5) is not on the line.

Therefore, the correct answer is option 1, (0, 3).