1. Persamaan garis yang melalui titik (-4,7) dan titik (10,-1) adalah..... 2. Suatu fungsi dinyatakan dengan rumus g(x) = ax +b jika g(5) = 8 dan g(2) = - 1 mak

1) ( y - y1 ) / ( y2 - y1 ) = ( x - X1 ) / ( x2 - X1 )
( y - 7 ) / ( - 1 - 7 ) = ( x + 4 ) / ( 10 + 4 )
( y - 7 ) / - 8 = ( x + 4 ) / 14
14 ( y - 7 ) = - 8 ( x + 4 )
14y - 98 = - 8x - 32
14y + 8x = - 32 + 98
14y + 8x = 66
disederhanakan
7y + 4x = 33

2) g(x) = ax + b
g(5) = 5a + b = 8
g(2) = 2a + b = - 1
--------------------------(-)
3a = 9
a = 3
subtitusi
2a + b = - 1
2(3) + b = - 1
6 + b = - 1
b = - 1 - 6
b = - 7
g(x) = ax + b
g(x) = 3x - 7
g(-4) = 3(-4) - 7 = - 12 - 7 = - 19

Jawabannya:
1. (y-7)/(-1-7)=(x+4)/(10+4)
(y-7)/-8=(x+4)/14
14y(y-7)= -8(x+4)
14y-98= -8x-32
14y+8x=-32+98
14y+8x=66
7y+4x=33

2. g(5)=5a+b= 8
g(2)= 2a+b= -1
-------------------- -
3a= 9
a= 9/3
a= 3

subs ke
2a+b= -1
2(3)+b= -1
6+b= -1
b= -1-6
b= -7

g(x)= 3x-7
g(-4)= 3(-4)-7
= -12-7
= -19

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