Question

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

Answer 1

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:

$2x-5y = -1$