Encontre a função que representa os gráficos abaixo com os pontos a) (0,2) e (-2,0)b) (4,3) e (1,-1)c) (-3,2) e (1,-4)
y=ax+b
a)
2=a.0+b b=2
0=-2a+2
2a=2
a=2/2=1
y=x+2
b)
3=4a+b
-1=a+b subtraindo
4=3a
a=4/3 b=-1-a=-1-4/3 b=-7/3
y=4/3x-7/3
c)
2=-3a+b
-4=a+b subtraindo
6=-4a
a=6/-4=-3/2 b=-4-a=-4+3/2 b=-5/2
y=-3/2x-5/2
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Verified answer
y=ax+b
a)
2=a.0+b b=2
0=-2a+2
2a=2
a=2/2=1
y=x+2
b)
3=4a+b
-1=a+b subtraindo
4=3a
a=4/3 b=-1-a=-1-4/3 b=-7/3
y=4/3x-7/3
c)
2=-3a+b
-4=a+b subtraindo
6=-4a
a=6/-4=-3/2 b=-4-a=-4+3/2 b=-5/2
y=-3/2x-5/2