Answer:
A. y = (-3/2)x-4
Step-by-step explanation:
The perpendicular equation is y = -3/2x - 4.
You can find this by first realizing that perpendicular lines have opposite and reciprocal slopes. So since it starts at 2/3 we flip it and make it a negative and the new slope is -3/2. Now we can use that and the point to get the y intercept using slope intercept form.
y = mx + b
5 = (-3/2)(-6) + b
5 = 9 + b
-4 = b
And now we can use our new slope and new intercept to model the equation.
y = -3/2x - 4
Hay dear friend thank you for asking the question
according to the question we know that
y = mx +b
And given that y = 5 , m = -3/2, x = -6
so
5 = -3/2×(-6) +b
5 = 9 + b
-4 = b
now we can use our new slope and new intercept model equation then,
y = (-3/2)x-4
I hope it's help you
