K= -3
3y = x+6 can be rewritten as y = 1/3x + 2
a perpendicular slope is the opposite reciprocal of the original slope
so instead of 1/3 it would be -3
therefore. k must equal -3 to be perpendicular to 3y = x+6
Step-by-step explanation:
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Slope =(9+3)/(-2-4) = 12/-6 = -2
Y+3 = -2 (×-4) => y=-2×+5
D is the line asked
Slope: -1/3
D: y-6 = -1/3 (×-3) or y= -1/3× + 7
