1 answer:
Answer:
y = 3x/2
Step-by-step explanation:
Let's solve for y first.
3y = -2x+6
y = -2x/3 + 2
We know that the slope is perpendicular to -2/3, meaning that we have to find the negative reciprocal of -2/3, which is 3/2.
y = 3x/2 + C.
We know the point (2, 3) and we plug that into our equation above.
3 = 3/2(2) + C.
3 = 3 + C
0 = C
C = 0.
We now plug in C for the equation, which gives us y = 3x/2.
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