6. Написать уравнение прямой проходящей через две точки :
1)А(-3;7) В(1;-9)
2)М(-4;3) N(3;-5)
1)А(-3;7) В(1;-9)
2)М(-4;3) N(3;-5)
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Answers & Comments
1) Основное уравнение прямой :
f(x) = kx + b
A(-3; 7), B(1; -9)
f(-3) = -3k + b, f(-3) = 7, -3k + b = 7
f(1) = k + b, f(1) = -9, k + b = -9
k = -4, b = -5
f(x) = -4x - 5
2) Основное уравнение прямой :
f(x) = kx + b
M(-4; 3), N(3; -5)
f(-4) = -4k + b, f(-4) = 3, -4k + b = 3
f(3) = 3k + b, f(3) = -5, 3k + b = -5
k = -8/7, b = -11/7
f(x) = -8x/7 - 11/7