一次函数图像经过两点(x1,y1)(x2,y2),那么k=(y1-y2)/(x1-x2),b=(y2x1-y1x2)/(x1-x2)
由kx+b=y
有kx1+b=y1,kx2+b=y2
整理得,-kx1=b-y1,(1)式 ,-kx2=b-y2(2)式
(1)-(2),得 -k(x1-x2)=y2-y1 [消b]
k(x2-x2)=y1-y2
k=(y1-y2)/(x1-x2).带入(1)式,y1-(y1-y2)/(x1-x2)*x1=b
解得b=(y2x1-y1x2)/(x1-x2)
y二KX十b