题库搜索>问题求解PS-13420
In the xy-plane, if line k passes through the points
(3.-4) and (a,b), where b=4a-16 and a≠3,
what is the slope of k?
分析A选项
分析B选项
分析C选项
分析D选项
分析E选项
设y=kx+d, 因为通过(3,-4),所以(1)3k+d=-4, 因为通过(a,b), 并且b=4a-16, a又不等于3, 我们就假设a=4, 所以b=0, 所以y=kx+d还通过(4,0),所以(2) 4k+d=0, 综合(1)(2),求出k=4
石头人
根据K通过(3,4)和(a,b)点,按斜率公式(Y2-Y1)/(X2-X1)得(b+4)/(a-3)=k,又因为b=4a-16, 将b值代入后得:(4a-16+4)/(a-3)=k, 化简之后为:(4a-12)/(a-3)=k 此时,a 可以取任意正整数(如:1,2,3。。。)得k 值圴为4
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