The required slope of the AD altitude to BC is given by option D. 3
AD is the altitude to BC
What is altitude?
Altitude is defined as the perpendicular line to the line from the opposite vertex of the triangle.
for ΔABC, AD is the altitude to BC
Since, the slope of the perpendicular line is equal to the negative inverse of the slope of the line over which its is perpendicular.
so,
slope of AD= -1/slope of BC
slope of BC = -1-2/3+6
= -3/9
slope of BC = -1/3
Hence,
slope of AD = -1/-1/3
= 3
Thus, The required slope of the AD altitude to BC is given by 3.
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