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Y+1=2/5(x+3) in standard form?

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For this case we have that by definition, the equation of a line in the standard form is given by:


ax + by = c

According to the statement we have the following equation of the line:


y + 1 = \frac {2} {5} (x + 3)

We manipulate algebraically to write in the standard form. To do this we follow the steps below:

We apply distributive property on the right side of the equation:
y + 1 = \frac {2} {5} x + \frac {6} {5}

We subtract
\frac {6} {5} on both sides of the equation:


y + 1- \frac {6} {5} = \frac {2} {5} x\\y- \frac {1} {5} = \frac {2} {5} x

We multiply by 5 on both sides of the equation:


5y-1 = 2x

We subtract 5y on both sides of the equation:


2x-5y = -1

Finally, the equation in its standard form is:


2x-5y = -1

Answer:


2x-5y = -1

User Itamar Bitton
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