Napisz wzór funkcji przechodzącej przez punkty a= (-2,3) b=(4,-1)
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y = ax + b
3 = a*-2 + b
-1 = a*4 + b
b = 3 + 2a
-1 = 4a + 3 + 2a
-4 = 6a
a = -4/6 = -2/3
b = 3 + 2a = 3 - 4/3 = 5/3
f(x) = -2x/3 + 5/3
a= (-2,3)
x y
3 = a * (-2) + b
b=(4,-1)
-1 = a * 4 + b
-2a + b = 3 /*(-1)
4a + b = -1
2a - b = -3
---------------
6a = -4
-2a + b = 3
-2 * (-2/3) + b = 3
4/3 + b = 3
b = 3 - 4/3
b =9/3 - 4/3 = 5/3
odp. y = -2/3x + 1 i 2/3
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y = ax + b
3 = a*-2 + b
-1 = a*4 + b
b = 3 + 2a
-1 = 4a + 3 + 2a
-4 = 6a
a = -4/6 = -2/3
b = 3 + 2a = 3 - 4/3 = 5/3
f(x) = -2x/3 + 5/3
a= (-2,3)
x y
y = ax + b
3 = a * (-2) + b
b=(4,-1)
x y
y = ax + b
-1 = a * 4 + b
3 = a * (-2) + b
-1 = a * 4 + b
-2a + b = 3 /*(-1)
4a + b = -1
2a - b = -3
4a + b = -1
---------------
6a = -4
a = -4/6 = -2/3
-2a + b = 3
-2 * (-2/3) + b = 3
4/3 + b = 3
b = 3 - 4/3
b =9/3 - 4/3 = 5/3
odp. y = -2/3x + 1 i 2/3