Question

Which of the following points can be found on the line 2x + 7y = 28?

a) (2,7)
b) (0,0)
c) (7,2)
d) (0,-4)

Answer 1

The only point that can be found on the line 2x + 7y = 28 is (7,2).

Step-by-step explanation:

To determine which points can be found on the line 2x + 7y = 28, we can substitute the x and y values of each point into the equation to see if they satisfy the equation.

• For point (2,7): 2(2) + 7(7) = 4 + 49 = 53, which is not equal to 28. So, this point is not on the line.
• For point (0,0): 2(0) + 7(0) = 0 + 0 = 0, which is not equal to 28. So, this point is not on the line.
• For point (7,2): 2(7) + 7(2) = 14 + 14 = 28, which is equal to 28. So, this point is on the line.
• For point (0,-4): 2(0) + 7(-4) = 0 + (-28) = -28, which is not equal to 28. So, this point is not on the line.

Therefore, the only point that can be found on the line 2x + 7y = 28 is (7,2).