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91Ó°ÊÓ

Write the given equation in standard form.

y−9=−45(x+2)

Short Answer

Expert verified

The equation of the line in standard form is 4x+5y=37.

Step by step solution

01

Step 1. Standard form of the linear equation:

The standard form of an equation of a line is given by,

ax+by=c

Where,a, b and,c are the real numbers.

02

Step 2. Change the equation in standard form.

The equation is given by,

y−9=−45x+25y−9=−4x+25y−45=−4x−85y+4x=−8+454x+5y=37

This equation is in standard form ax+by=c, wherea=4, b=5 and c=37.

Therefore, the equation of the line in standard form is 4x+5y=37.

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