Question

Write the equation 3x+2y- 5 = 0 in normal form. Then, find the length of the normal and the angle it makes with the

positive x axis.
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Answer 1

Answer: x= -2/3y+5/3

Explanation:

Let's solve for x.

3x+2y−5=0

Step 1: Add -2y to both sides.

3x+2y−5+−2y=0+−2y

3x−5=−2y

Step 2: Add 5 to both sides.

3x−5+5=−2y+5

3x=−2y+5

Step 3: Divide both sides by 3.

3x/3=-2y+5/3

x= -2/3y+5/3