Is y=x+8 greater than (4,10), (2,6)? Yes or no

Answer 1

To determine if the equation \( y = x + 8 \) is greater than the points (4, 10) and (2, 6), we need to compare the y-values of these points to the y-values given by the equation for the corresponding x-values.

1. For the point (4, 10):
- Calculate \( y \) using \( y = x + 8 \) when \( x = 4 \):
\[ y = 4 + 8 = 12 \]
- Compare this to the y-value of the point (4, 10):
\[ 12 > 10 \]

2. For the point (2, 6):
- Calculate \( y \) using \( y = x + 8 \) when \( x = 2 \):
\[ y = 2 + 8 = 10 \]
- Compare this to the y-value of the point (2, 6):
\[ 10 > 6 \]

So, \( y = x + 8 \) is greater than both points (4, 10) and (2, 6). The answer is yes.