Question

complete the table and then graph the function.
$y = -5$

x	y
-10
6
7

Explanation:

Step1: Analyze the function \( y = -5 \)

The equation \( y = -5 \) represents a horizontal line where the value of \( y \) is always -5, regardless of the value of \( x \).

Step2: Find \( y \) for \( x = -10 \)

Since \( y \) is always -5, when \( x = -10 \), \( y = -5 \).

Step3: Find \( y \) for \( x = 6 \)

For \( x = 6 \), using the equation \( y = -5 \), we get \( y = -5 \).

Step4: Find \( y \) for \( x = 7 \)

For \( x = 7 \), from \( y = -5 \), we have \( y = -5 \).

Answer:

For \( x = -10 \), \( y = -5 \); for \( x = 6 \), \( y = -5 \); for \( x = 7 \), \( y = -5 \). So the completed table (filling the blanks) has \( y \)-values of -5, -5, -5 for \( x = -10 \), \( x = 6 \), \( x = 7 \) respectively.