Menentukan Gradien Suatu Garis
A. MENENTUKAN GRADIEN DARI SUATU GARIS
[list=1][*]Gambarkan [b]dua titik[/b] yang terletak pada garis sedemikian hingga koordinat dari kedua titik relatif mudah dibaca (berupa bilangan bulat)![/*][*]Tentukan [math]\Delta y[/math] dan tuliskan pada kotak Input Box [math]\Delta y[/math]![/*][*]Tentukan [math]\Delta x[/math] dan tuliskan pada kotak Input Box [math]\Delta x[/math]![/*][*]Hitunglah [math]\frac{\Delta y}{\Delta x}[/math] dan tuliskan hasilnya pada kotak Input Box Gradien Garis[/*][*]Jika jawaban benar untuk bagian gradien garis, maka akan muncul “GOOD JOB”[/*][/list][br][br][b]*Layar dapat diperbesar maupun diperkecil dengan[br][list][*]scroll pada mouse (untuk penggunaan laptop dengan mouse atau PC) atau[/*][*]men-zoom out atau zoom in pada layar / touchpad (untuk penggunaan melalui smartphone / laptop tanpa mouse) atau [/*][*]tekan ctrl+ + / ctrl+ - pada keyboard[/*][/list][b]**Diagram kartesius dapat diubah menjadi fullscreen dengan mengklik tombol[/b] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA/ElEQVRYhe2YSw4CIQxAS+MFOJDuPLU7vQ8cAVcY06G0xRSYxLfk1xemNDChlFLAQM7ZMhxijKbxQStkFaFoxUShX0UokhjOlNGsyQp5yGjWbgp5ykgxDkIzZHqxUBrgDY2JXMdMvmNfNBPut2u3//F8mcb1QIC1u1OpDt06tALcYXcqOWddDlG4XKDtUk612O+TrRagbCcUUkqmC5o32+3QUKXWVNzRedvt0F9IYqhSc7kxUpkpaH03eRJj3O+TIYD9delBdfg8FFdfQ6oQ0oaVMgDk2K+QojEPST1TqhWrecpmSHEx2GPvKdVbu1uHPKSkNc/3w4ri/UvvDT2ucvu/8+gCAAAAAElFTkSuQmCC[/img].[br]***Untuk menghapus objek, klik kanan objek pada mouse / touchpad (untuk penggunaan melalui PC) atau tahan lama objek (untuk penggunaan melalui smartphone) lalu pilih "Delete".[br]****Pada Task 23 tidak akan muncul tanda [math]\surd[/math][/b]
[size=200][color=#351c75][size=100]Berapa gradien garis yang sejajar dengan sumbu [math]x[/math][/size][/color][/size]?
Berapa gradien garis yang sejajar dengan sumbu [math]y[/math]?
B. MENENTUKAN GRADIEN GARIS JIKA DIKETAHUI DUA TITIK YANG MELALUI GARIS
[list=1][*]Dengan menggambar garis terlebih dahulu, tentukan gradien dari garis yang melalui pasangan titik-titik berikut dengan langkah:[br]a. Gambarlah garis yang melalui sepasang titik yang ada pada soal! [br] (Langkah sama dengan menggambar garis dari dua titik diketahui)[br]b. Hitunglah gradien yang dimiliki garis tersebut! [br] (Langkah sama dengan menghitung gradien dari gambar garis)[br][br][/*][/list][b]*Layar dapat diperbesar maupun diperkecil dengan [br][b][list][*]scroll pada mouse (untuk penggunaan laptop dengan mouse atau PC) atau[/*][*]men-zoom out atau zoom in pada layar / touchpad (untuk penggunaan melalui smartphone / laptop tanpa mouse) atau [/*][*]tekan ctrl+ + / ctrl+ - pada keyboard[/*][/list]**Diagram kartesius dapat diubah menjadi fullscreen dengan mengklik tombol[/b] [img]data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAACQAAAAkCAYAAADhAJiYAAAA/ElEQVRYhe2YSw4CIQxAS+MFOJDuPLU7vQ8cAVcY06G0xRSYxLfk1xemNDChlFLAQM7ZMhxijKbxQStkFaFoxUShX0UokhjOlNGsyQp5yGjWbgp5ykgxDkIzZHqxUBrgDY2JXMdMvmNfNBPut2u3//F8mcb1QIC1u1OpDt06tALcYXcqOWddDlG4XKDtUk612O+TrRagbCcUUkqmC5o32+3QUKXWVNzRedvt0F9IYqhSc7kxUpkpaH03eRJj3O+TIYD9delBdfg8FFdfQ6oQ0oaVMgDk2K+QojEPST1TqhWrecpmSHEx2GPvKdVbu1uHPKSkNc/3w4ri/UvvDT2ucvu/8+gCAAAAAElFTkSuQmCC[/img].[br]***Untuk menghapus objek, klik kanan objek pada mouse / touchpad (untuk penggunaan melalui PC) atau tahan lama objek (untuk penggunaan melalui smartphone) lalu pilih "Delete".[/b]
2. Tanpa menggambar garis, tentukan gradien garis yang melalui pasangan titik berikut!
Bagaimana cara yang paling efektif untuk menentukan gradien garis yang diketahui dua titik yang melaluinya?
Ingat kembali pertanyaan Task 16 di bagian materi prasyarat. [br]Bagaimana syarat-syarat agar tiga titik dapat dihubungkan menjadi satu garis? Adakah syarat yang hubungannya dengan nilai gradien? Jika ada jelaskan!
Dari keempat komponen yang ada disusun dengan cara yang berbeda menjadi Gambar 1 dan Gambar 2. Namun mengapa saat disusun dengan susunan berbeda, seolah-olah Gambar2 memiliki luasan yang lebih luas dari Gambar 1? 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[/img]