一個(gè)函數(shù)的圖象是經(jīng)過原點(diǎn)的直線,并且這條直線過第四象限及點(diǎn)(2,-3a)與點(diǎn)(a,-6),則這條直線的解析式是______.
∵該函數(shù)的圖象是經(jīng)過原點(diǎn)的直線,且這條直線過第四象限,
∴設(shè)該函數(shù)的解析式為:y=kx(k<0);
又∵這條直線過點(diǎn)(2,-3a)與點(diǎn)(a,-6),
∴
,
解得,
或
(不合題意,舍去),
∴這條直線的解析式是y=-3x.
故答案是:y=-3x.