Решить

To determine which points belong to the graph of the function \(y = 4x - 9\), we can substitute the x-values from each point into the equation and see if the corresponding y-value matches.

1. \(A(2, -1.5)\):

   • Substitute \(x = 2\) into the equation: \(y = 4(2) - 9 = 8 - 9 = -1\)
   • \(y\) doesn't match \(-1.5\), so \(A\) does not belong.

2. \(B(3, 3)\):

   • Substitute \(x = 3\) into the equation: \(y = 4(3) - 9 = 12 - 9 = 3\)
   • \(y\) matches \(3\), so \(B\) does belong.

3. \(C(4, 7)\):

   • Substitute \(x = 4\) into the equation: \(y = 4(4) - 9 = 16 - 9 = 7\)
   • \(y\) matches \(7\), so \(C\) does belong.

4. \(D(-1, -15)\):

   • Substitute \(x = -1\) into the equation: \(y = 4(-1) - 9 = -4 - 9 = -13\)
   • \(y\) doesn't match \(-15\), so \(D\) does not belong.

So the points \(B(3, 3)\) and \(C(4, 7)\) belong to the graph of the function.