Question

functions and lines
table for a linear equation
fill in the table using this function rule.
$y = -2x + 5$

$x$	$y$
$-1$	$square$
$0$	$square$
$1$	$square$

Explanation:

Step1: For \( x = -2 \)

Substitute \( x = -2 \) into \( y = -2x + 5 \). So \( y = -2\times(-2)+5 = 4 + 5 = 9 \).

Step2: For \( x = -1 \)

Substitute \( x = -1 \) into \( y = -2x + 5 \). So \( y = -2\times(-1)+5 = 2 + 5 = 7 \).

Step3: For \( x = 0 \)

Substitute \( x = 0 \) into \( y = -2x + 5 \). So \( y = -2\times0 + 5 = 0 + 5 = 5 \).

Step4: For \( x = 1 \)

Substitute \( x = 1 \) into \( y = -2x + 5 \). So \( y = -2\times1 + 5 = -2 + 5 = 3 \).

Answer:

When \( x = -2 \), \( y = 9 \); when \( x = -1 \), \( y = 7 \); when \( x = 0 \), \( y = 5 \); when \( x = 1 \), \( y = 3 \)