The equation in its standard form is 4x - 5y = -6
<h3>How to determine the standard form of the equation?</h3>
From the question, we have the equation to be
y+2=4/5 (x+4)
Start by multiplying both sides of the equation by 5
So, we have
5(y + 2) =4/5 (x+4) * 5
Evaluate the products
This gives
5y + 10 =4 (x+4)
Next, we open the brackets
So, we have the following representation
5y + 10 =4x + 16
Collect the like terms
4x - 5y = 10 - 16
Evaluate the like terms
This gives
4x - 5y = -6
Hence, the standard form of the equation is 4x - 5y = -6
Read more about linear equations at
brainly.com/question/13738662
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