Complete the table using the rule y = −2x + 8 for the given x values.

Question

ScanSolve AI Tutor · Accepted Answer

Okay, MaMpangazitha. Let's complete the second table.

To complete the table, we will substitute each given $x$ value into the rule $y = -2x + 8$ and calculate the corresponding $y$ value.

Calculate $y$ when $x = -3$ .
$y = -2(-3) + 8 = 6 + 8 = 14$
Calculate $y$ when $x = -2$ .
$y = -2(-2) + 8 = 4 + 8 = 12$
Calculate $y$ when $x = -1$ .
$y = -2(-1) + 8 = 2 + 8 = 10$
Calculate $y$ when $x = 0$ .
$y = -2(0) + 8 = 0 + 8 = 8$
Calculate $y$ when $x = 1$ .
$y = -2(1) + 8 = -2 + 8 = 6$
Calculate $y$ when $x = 2$ .
$y = -2(2) + 8 = -4 + 8 = 4$
Complete the table with the calculated $y$ values.
$\boxed{ \begin{array}{|c|c|c|c|c|c|c|} \hline x & -3 & -2 & -1 & 0 & 1 & 2 \\ \hline y = -2x + 8 & \textbf{14} & \textbf{12} & \textbf{10} & \textbf{8} & \textbf{6} & \textbf{4} \\ \hline \end{array} }$

Complete the table using the rule y = -2x + 8 for the given x values.

Key points of y = −2x + 8
Point	x	y
y-intercept	0	8
x-intercept	4	0