Complete the following tables using the equations attached to them (in English)

Tukichukulia uhusiano wa mstari rahisi wa fomu $y = x + c$, tunaweza kubadilisha thamani za $x$ na $y$ kutoka kwenye jozi $(-5, 3)$:

$$3 = -5 + c$$

Ili kupata $c$, ongeza 5 pande zote mbili za mlinganyo:

$$c = 3 + 5$$ $$c = 8$$

Hivyo, kanuni inayotumika kwa majedwali yote ni $y = x + 8$.

Kwa kutumia kanuni $y = x + 8$, tunabadilisha kila thamani ya $x$ ili kupata $y$:

• Wakati $x = 2$: $y = 2 + 8 = 10$
• Wakati $x = 6$: $y = 6 + 8 = 14$
• Wakati $x = 10$: $y = 10 + 8 = 18$
• Wakati $x = 14$: $y = 14 + 8 = 22$

Jedwali (a) lililokamilika:

$$\begin{array}{|c|c|} \hline x & y \\ \hline 2 & 10 \\ \hline 6 & 14 \\ \hline 10 & 18 \\ \hline 14 & 22 \\ \hline \end{array}$$

Kwa kutumia kanuni $y = x + 8$, tunabadilisha kila thamani ya $x$ ili kupata $y$:

• Wakati $x = 1$: $y = 1 + 8 = 9$
• Wakati $x = 2$: $y = 2 + 8 = 10$
• Wakati $x = 3$: $y = 3 + 8 = 11$
• Wakati $x = 4$: $y = 4 + 8 = 12$

Jedwali (b) lililokamilika:

$$\begin{array}{|c|c|} \hline x & y \\ \hline 1 & 9 \\ \hline 2 & 10 \\ \hline 3 & 11 \\ \hline 4 & 12 \\ \hline \end{array}$$

Kwa kutumia kanuni $y = x + 8$, tunabadilisha kila thamani ya $x$ ili kupata $y$:

• Wakati $x = -5$: $y = -5 + 8 = 3$ (Hii inalingana na thamani iliyotolewa)
• Wakati $x = 12$: $y = 12 + 8 = 20$
• Wakati $x = 15$: $y = 15 + 8 = 23$
• Wakati $x = 25$: $y = 25 + 8 = 33$

Jedwali la tatu lililokamilika:

$$\begin{array}{|c|c|} \hline x & y \\ \hline -5 & 3 \\ \hline 12 & 20 \\ \hline 15 & 23 \\ \hline 25 & 33 \\ \hline \end{array}$$