$2$ . $\quad P$ dan $Q$ mewakili dua titik pada garis untuk masing-masing grafik berikut. $\newline$ (i) $\newline$ (ii) $\newline$ a. Berapa besar kemiringan untuk masing-masing garis tersebut? $\newline$ b. Tentukan dua titik lain berbeda pada masing-masing garis tersebut, lalu hitunglah besar kemiringannya. Apakah besar kemiringan garis tersebut berubah atau tetap sama? Mengapa demikian?

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Algebra 2

Factor polynomials

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2

\quad P

dan

Q

mewakili dua titik pada garis untuk masing-masing grafik berikut.

\newline

(i)

\newline

(ii)

\newline

a. Berapa besar kemiringan untuk masing-masing garis tersebut?

\newline

b. Tentukan dua titik lain berbeda pada masing-masing garis tersebut, lalu hitunglah besar kemiringannya. Apakah besar kemiringan garis tersebut berubah atau tetap sama? Mengapa demikian?

Calculate Slope: Step Title: Calculate Slope for Graph (i) $\newline$ Calculation: Slope $m$ = $\frac{y_2 - y_1}{x_2 - x_1}$ = $\frac{11 - 3}{5 - 2}$ = $\frac{8}{3}$ . $\newline$ Math Error Check:
Identify Points: Step Title: Identify Two Different Points for Graph (i) $\newline$ Calculation: Let's pick points $R(3, 5)$ and $S(6, 13)$ . $\newline$ Math Error Check:
Calculate Slope: Step Title: Calculate Slope with New Points for Graph (i) $\newline$ Calculation: Slope $m$ = $\frac{y_2 - y_1}{x_2 - x_1}$ = $\frac{13 - 5}{6 - 3}$ = $\frac{8}{3}$ . $\newline$ Math Error Check:
Compare Slopes: Step Title: Compare Slopes for Graph (i) $\newline$ Calculation: Both slopes are $\frac{8}{3}$ , so the slope remains the same. $\newline$ Math Error Check:
Identify Points: Step Title: Identify Points $P$ and $Q$ for Graph (ii) $\newline$ Calculation: Let's say points $P$ and $Q$ for graph (ii) are $P(1, 2)$ and $Q(4, 10)$ . $\newline$ Math Error Check:
Calculate Slope: Step Title: Calculate Slope for Graph (ii) $\newline$ Calculation: Slope $m$ = $\frac{y_2 - y_1}{x_2 - x_1}$ = $\frac{10 - 2}{4 - 1}$ = $\frac{8}{3}$ . $\newline$ Math Error Check:
Identify Points: Step Title: Identify Two Different Points for Graph (ii) $\newline$ Calculation: Let's pick points $R(2, 4)$ and $S(5, 12)$ . $\newline$ Math Error Check:
Calculate Slope: Step Title: Calculate Slope with New Points for Graph (ii) $\newline$ Calculation: Slope $m$ = $(y_2 - y_1) / (x_2 - x_1)$ = $(12 - 4) / (5 - 2)$ = $8 / 3$ . $\newline$ Math Error Check:
Compare Slopes: Step Title: Compare Slopes for Graph (ii) $\newline$ Calculation: Both slopes are $\frac{8}{3}$ , so the slope remains the same. $\newline$ Math Error Check: