As shown in the figure, it is known that the two vertices of RT △ OAB are a [6,0], B [0,8], O is the origin, and △ OAB rotates 90 ° clockwise around point A. point O arrives at point o ', and point B arrives at point B' (1) Finding the coordinates of point B 丿 (2) Finding the analytic expression of the function corresponding to the line ab 丿

As shown in the figure, it is known that the two vertices of RT △ OAB are a [6,0], B [0,8], O is the origin, and △ OAB rotates 90 ° clockwise around point A. point O arrives at point o ', and point B arrives at point B' (1) Finding the coordinates of point B 丿 (2) Finding the analytic expression of the function corresponding to the line ab 丿

Because o ` a = OA = 6, o ` B '= ob = 8, the abscissa of B ` is 6 + 8 = 14, the ordinate is 6, and the coordinates of B point are (14,6). [you can see from the picture]
Then the analytic expression of the function of the straight line ab 'is y = KX + B, because the coordinates of point a are (6,0), and the coordinates of point B' are (14,6), so the countable equations 0 = 6K + B, 6 = 14K + B, k = 3 / 4, B = - 9 / 2, then y = 3 / 4x-9 / 2