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sagatelovartyom
@sagatelovartyom
July 2022
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График функции у=кх+b проходит через точки А(3;3) и В(5;-1). Найдите значение к и b. Заранее спасибо :)
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mami25366
Подставляем известные координаты
А(3;3) и В(5;-1)
в уравнение y=kx+b и решаем систему.
3 = k * 3 + b
-1 = k * 5 + b
3k + b = 3
5k + b = -1
b = 3 - 3k
5k + 3 - 3k = -1
b = 3 - 3k
2k = -4
b = 3 - 3k
k = -2
b = 3 - 3*(-2)
k = -2
b = 9
k = -2
уравнение имеет вид y = -2x + 9
2 votes
Thanks 6
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Answers & Comments
3 = k * 3 + b
-1 = k * 5 + b
3k + b = 3
5k + b = -1
b = 3 - 3k
5k + 3 - 3k = -1
b = 3 - 3k
2k = -4
b = 3 - 3k
k = -2
b = 3 - 3*(-2)
k = -2
b = 9
k = -2
уравнение имеет вид y = -2x + 9