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Giải bài 5 trang 52 vở thực hành Toán 8 tập 2

Tìm hàm số bậc nhất có đồ thị là đường thẳng song song với đường thẳng y = −3x + 1 và đi qua điểm (2;6)

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Đề bài

Tìm hàm số bậc nhất có đồ thị là đường thẳng song song với đường thẳng y = −3x + 1 và đi qua điểm (2;6) 

Phương pháp giải - Xem chi tiết

Vì đồ thị hàm số bậc nhất là đường thẳng song song với đường thẳng y = -3x + 1 nên a = 3 Thay x = 2; y = 6 vào hàm số y = 3x + b ta tìm được b rồi suy ra công thức hàm số bậc nhất.

Lời giải chi tiết

Giả sử hàm số cần tìm là y = ax + b (a ≠ 0).Vì đồ thị của hàm số song song với đường thẳng y = -3x + 1 nên a = −3 và b ≠ 1.Suy ra y = –3x + b.Mặt khác, đồ thị hàm số đi qua điểm (2; 6) nên ta có 6 = –3.2 + b hay b = 12. Giá trị này thoả mãn điều kiện b ≠ 1. Vậy hàm số cần tìm là y = −3x + 12.

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