Answer:
A.
-19 9 7
[15 -7 6 ]
-2 1 1
Step-by-step explanation:
If you meant to write y=23x-4 then none of the lines are perpendicular.
I suspect you intended y=2/3x-4, then line D, y=-3/2x-4 is perpendicular.
For any line y=mx+b, you have to "invert" m to get a perpendicular line. Inverting in this case means: flip numerator and denominator and add a minus sign.
So 2/3 becomes -3/2, hence answer D.
The 'inverted' m is called the opposite reciprocal. That's your word of the day.
To do this multiply 1 by 4, then 3 by 5. 4 over 15 is your answer.
That would not be right because 4 times 3 equals 12 and -6 times 3 equals -18.