To check if the point (1, 6) satisfies the equation \( y = 5x^2 + 8x + 5 \), we will substitute \( x = 1 \) into the equation and see if it equals \( y = 6 \).
-
Substitute \( x = 1 \) into the equation: \[ y = 5(1^2) + 8(1) + 5 \]
-
Calculate: \[ y = 5(1) + 8(1) + 5 \] \[ y = 5 + 8 + 5 \] \[ y = 18 \]
Now we have \( y = 18 \) when \( x = 1 \), but the point (1, 6) has \( y = 6 \).
Since \( 18 \neq 6 \), the point (1, 6) does not make the equation true.